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Simplifying 5(x + 15) = 3(4x + -3) Reorder the terms: 5(15 + x) = 3(4x + -3) (15 * 5 + x * 5) = 3(4x + -3) (75 + 5x) = 3(4x + -3) Reorder the terms: 75 + 5x = 3(-3 + 4x) 75 + 5x = (-3 * 3 + 4x * 3) 75 + 5x = (-9 + 12x) Solving 75 + 5x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 75 + 5x + -12x = -9 + 12x + -12x Combine like terms: 5x + -12x = -7x 75 + -7x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 75 + -7x = -9 + 0 75 + -7x = -9 Add '-75' to each side of the equation. 75 + -75 + -7x = -9 + -75 Combine like terms: 75 + -75 = 0 0 + -7x = -9 + -75 -7x = -9 + -75 Combine like terms: -9 + -75 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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