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Simplifying 3(4x + -15) = 5(2x + -7) Reorder the terms: 3(-15 + 4x) = 5(2x + -7) (-15 * 3 + 4x * 3) = 5(2x + -7) (-45 + 12x) = 5(2x + -7) Reorder the terms: -45 + 12x = 5(-7 + 2x) -45 + 12x = (-7 * 5 + 2x * 5) -45 + 12x = (-35 + 10x) Solving -45 + 12x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -45 + 12x + -10x = -35 + 10x + -10x Combine like terms: 12x + -10x = 2x -45 + 2x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 -45 + 2x = -35 + 0 -45 + 2x = -35 Add '45' to each side of the equation. -45 + 45 + 2x = -35 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = -35 + 45 2x = -35 + 45 Combine like terms: -35 + 45 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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