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Simplifying 8(15x + -12) = 18(8x + -15) Reorder the terms: 8(-12 + 15x) = 18(8x + -15) (-12 * 8 + 15x * 8) = 18(8x + -15) (-96 + 120x) = 18(8x + -15) Reorder the terms: -96 + 120x = 18(-15 + 8x) -96 + 120x = (-15 * 18 + 8x * 18) -96 + 120x = (-270 + 144x) Solving -96 + 120x = -270 + 144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144x' to each side of the equation. -96 + 120x + -144x = -270 + 144x + -144x Combine like terms: 120x + -144x = -24x -96 + -24x = -270 + 144x + -144x Combine like terms: 144x + -144x = 0 -96 + -24x = -270 + 0 -96 + -24x = -270 Add '96' to each side of the equation. -96 + 96 + -24x = -270 + 96 Combine like terms: -96 + 96 = 0 0 + -24x = -270 + 96 -24x = -270 + 96 Combine like terms: -270 + 96 = -174 -24x = -174 Divide each side by '-24'. x = 7.25 Simplifying x = 7.25
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