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Simplifying 7x + -8(2x + -3) = 2(3x + -9) + -5x Reorder the terms: 7x + -8(-3 + 2x) = 2(3x + -9) + -5x 7x + (-3 * -8 + 2x * -8) = 2(3x + -9) + -5x 7x + (24 + -16x) = 2(3x + -9) + -5x Reorder the terms: 24 + 7x + -16x = 2(3x + -9) + -5x Combine like terms: 7x + -16x = -9x 24 + -9x = 2(3x + -9) + -5x Reorder the terms: 24 + -9x = 2(-9 + 3x) + -5x 24 + -9x = (-9 * 2 + 3x * 2) + -5x 24 + -9x = (-18 + 6x) + -5x Combine like terms: 6x + -5x = 1x 24 + -9x = -18 + 1x Solving 24 + -9x = -18 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + -9x + -1x = -18 + 1x + -1x Combine like terms: -9x + -1x = -10x 24 + -10x = -18 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + -10x = -18 + 0 24 + -10x = -18 Add '-24' to each side of the equation. 24 + -24 + -10x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -18 + -24 -10x = -18 + -24 Combine like terms: -18 + -24 = -42 -10x = -42 Divide each side by '-10'. x = 4.2 Simplifying x = 4.2
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