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Simplifying 0.3x + -0.2(17 + -5x) = -0.6(x + -7) 0.3x + (17 * -0.2 + -5x * -0.2) = -0.6(x + -7) 0.3x + (-3.4 + 1x) = -0.6(x + -7) Reorder the terms: -3.4 + 0.3x + 1x = -0.6(x + -7) Combine like terms: 0.3x + 1x = 1.3x -3.4 + 1.3x = -0.6(x + -7) Reorder the terms: -3.4 + 1.3x = -0.6(-7 + x) -3.4 + 1.3x = (-7 * -0.6 + x * -0.6) -3.4 + 1.3x = (4.2 + -0.6x) Solving -3.4 + 1.3x = 4.2 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -3.4 + 1.3x + 0.6x = 4.2 + -0.6x + 0.6x Combine like terms: 1.3x + 0.6x = 1.9x -3.4 + 1.9x = 4.2 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -3.4 + 1.9x = 4.2 + 0.0 -3.4 + 1.9x = 4.2 Add '3.4' to each side of the equation. -3.4 + 3.4 + 1.9x = 4.2 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 1.9x = 4.2 + 3.4 1.9x = 4.2 + 3.4 Combine like terms: 4.2 + 3.4 = 7.6 1.9x = 7.6 Divide each side by '1.9'. x = 4 Simplifying x = 4
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