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Simplifying 0.6x + -0.2(7 + -5x) = -0.9(x + -4) 0.6x + (7 * -0.2 + -5x * -0.2) = -0.9(x + -4) 0.6x + (-1.4 + 1x) = -0.9(x + -4) Reorder the terms: -1.4 + 0.6x + 1x = -0.9(x + -4) Combine like terms: 0.6x + 1x = 1.6x -1.4 + 1.6x = -0.9(x + -4) Reorder the terms: -1.4 + 1.6x = -0.9(-4 + x) -1.4 + 1.6x = (-4 * -0.9 + x * -0.9) -1.4 + 1.6x = (3.6 + -0.9x) Solving -1.4 + 1.6x = 3.6 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -1.4 + 1.6x + 0.9x = 3.6 + -0.9x + 0.9x Combine like terms: 1.6x + 0.9x = 2.5x -1.4 + 2.5x = 3.6 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -1.4 + 2.5x = 3.6 + 0.0 -1.4 + 2.5x = 3.6 Add '1.4' to each side of the equation. -1.4 + 1.4 + 2.5x = 3.6 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 2.5x = 3.6 + 1.4 2.5x = 3.6 + 1.4 Combine like terms: 3.6 + 1.4 = 5 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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