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Simplifying 0.1[3(x + -4) + -2(x + -5y + -5)] = -10[0.3(2x + 4) + -0.1y] Reorder the terms: 0.1[3(-4 + x) + -2(x + -5y + -5)] = -10[0.3(2x + 4) + -0.1y] 0.1[(-4 * 3 + x * 3) + -2(x + -5y + -5)] = -10[0.3(2x + 4) + -0.1y] 0.1[(-12 + 3x) + -2(x + -5y + -5)] = -10[0.3(2x + 4) + -0.1y] Reorder the terms: 0.1[-12 + 3x + -2(-5 + x + -5y)] = -10[0.3(2x + 4) + -0.1y] 0.1[-12 + 3x + (-5 * -2 + x * -2 + -5y * -2)] = -10[0.3(2x + 4) + -0.1y] 0.1[-12 + 3x + (10 + -2x + 10y)] = -10[0.3(2x + 4) + -0.1y] Reorder the terms: 0.1[-12 + 10 + 3x + -2x + 10y] = -10[0.3(2x + 4) + -0.1y] Combine like terms: -12 + 10 = -2 0.1[-2 + 3x + -2x + 10y] = -10[0.3(2x + 4) + -0.1y] Combine like terms: 3x + -2x = 1x 0.1[-2 + 1x + 10y] = -10[0.3(2x + 4) + -0.1y] [-2 * 0.1 + 1x * 0.1 + 10y * 0.1] = -10[0.3(2x + 4) + -0.1y] [-0.2 + 0.1x + 1y] = -10[0.3(2x + 4) + -0.1y] Reorder the terms: -0.2 + 0.1x + 1y = -10[0.3(4 + 2x) + -0.1y] -0.2 + 0.1x + 1y = -10[(4 * 0.3 + 2x * 0.3) + -0.1y] -0.2 + 0.1x + 1y = -10[(1.2 + 0.6x) + -0.1y] -0.2 + 0.1x + 1y = [1.2 * -10 + 0.6x * -10 + -0.1y * -10] -0.2 + 0.1x + 1y = [-12 + -6x + 1y] Add '-1y' to each side of the equation. -0.2 + 0.1x + 1y + -1y = -12 + -6x + 1y + -1y Combine like terms: 1y + -1y = 0 -0.2 + 0.1x + 0 = -12 + -6x + 1y + -1y -0.2 + 0.1x = -12 + -6x + 1y + -1y Combine like terms: 1y + -1y = 0 -0.2 + 0.1x = -12 + -6x + 0 -0.2 + 0.1x = -12 + -6x Solving -0.2 + 0.1x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -0.2 + 0.1x + 6x = -12 + -6x + 6x Combine like terms: 0.1x + 6x = 6.1x -0.2 + 6.1x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -0.2 + 6.1x = -12 + 0 -0.2 + 6.1x = -12 Add '0.2' to each side of the equation. -0.2 + 0.2 + 6.1x = -12 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 6.1x = -12 + 0.2 6.1x = -12 + 0.2 Combine like terms: -12 + 0.2 = -11.8 6.1x = -11.8 Divide each side by '6.1'. x = -1.93442623 Simplifying x = -1.93442623
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