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Simplifying 8(6x + -15) = 12(38 + -2x) Reorder the terms: 8(-15 + 6x) = 12(38 + -2x) (-15 * 8 + 6x * 8) = 12(38 + -2x) (-120 + 48x) = 12(38 + -2x) -120 + 48x = (38 * 12 + -2x * 12) -120 + 48x = (456 + -24x) Solving -120 + 48x = 456 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -120 + 48x + 24x = 456 + -24x + 24x Combine like terms: 48x + 24x = 72x -120 + 72x = 456 + -24x + 24x Combine like terms: -24x + 24x = 0 -120 + 72x = 456 + 0 -120 + 72x = 456 Add '120' to each side of the equation. -120 + 120 + 72x = 456 + 120 Combine like terms: -120 + 120 = 0 0 + 72x = 456 + 120 72x = 456 + 120 Combine like terms: 456 + 120 = 576 72x = 576 Divide each side by '72'. x = 8 Simplifying x = 8
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