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Simplifying 5(2x + 7) = 3(4x + -5) Reorder the terms: 5(7 + 2x) = 3(4x + -5) (7 * 5 + 2x * 5) = 3(4x + -5) (35 + 10x) = 3(4x + -5) Reorder the terms: 35 + 10x = 3(-5 + 4x) 35 + 10x = (-5 * 3 + 4x * 3) 35 + 10x = (-15 + 12x) Solving 35 + 10x = -15 + 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. 35 + 10x + -12x = -15 + 12x + -12x Combine like terms: 10x + -12x = -2x 35 + -2x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -2x = -15 + 0 35 + -2x = -15 Add '-35' to each side of the equation. 35 + -35 + -2x = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = -15 + -35 -2x = -15 + -35 Combine like terms: -15 + -35 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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