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Simplifying 8(3x + -17) = 8(15 + -6x) Reorder the terms: 8(-17 + 3x) = 8(15 + -6x) (-17 * 8 + 3x * 8) = 8(15 + -6x) (-136 + 24x) = 8(15 + -6x) -136 + 24x = (15 * 8 + -6x * 8) -136 + 24x = (120 + -48x) Solving -136 + 24x = 120 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -136 + 24x + 48x = 120 + -48x + 48x Combine like terms: 24x + 48x = 72x -136 + 72x = 120 + -48x + 48x Combine like terms: -48x + 48x = 0 -136 + 72x = 120 + 0 -136 + 72x = 120 Add '136' to each side of the equation. -136 + 136 + 72x = 120 + 136 Combine like terms: -136 + 136 = 0 0 + 72x = 120 + 136 72x = 120 + 136 Combine like terms: 120 + 136 = 256 72x = 256 Divide each side by '72'. x = 3.555555556 Simplifying x = 3.555555556
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