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Simplifying -3x + -2(9 + 5x) = 15 + -4(2x + -4) -3x + (9 * -2 + 5x * -2) = 15 + -4(2x + -4) -3x + (-18 + -10x) = 15 + -4(2x + -4) Reorder the terms: -18 + -3x + -10x = 15 + -4(2x + -4) Combine like terms: -3x + -10x = -13x -18 + -13x = 15 + -4(2x + -4) Reorder the terms: -18 + -13x = 15 + -4(-4 + 2x) -18 + -13x = 15 + (-4 * -4 + 2x * -4) -18 + -13x = 15 + (16 + -8x) Combine like terms: 15 + 16 = 31 -18 + -13x = 31 + -8x Solving -18 + -13x = 31 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -18 + -13x + 8x = 31 + -8x + 8x Combine like terms: -13x + 8x = -5x -18 + -5x = 31 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + -5x = 31 + 0 -18 + -5x = 31 Add '18' to each side of the equation. -18 + 18 + -5x = 31 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 31 + 18 -5x = 31 + 18 Combine like terms: 31 + 18 = 49 -5x = 49 Divide each side by '-5'. x = -9.8 Simplifying x = -9.8
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