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Simplifying -5 + 3(3 + 4x) = 5(3x + -7) -5 + (3 * 3 + 4x * 3) = 5(3x + -7) -5 + (9 + 12x) = 5(3x + -7) Combine like terms: -5 + 9 = 4 4 + 12x = 5(3x + -7) Reorder the terms: 4 + 12x = 5(-7 + 3x) 4 + 12x = (-7 * 5 + 3x * 5) 4 + 12x = (-35 + 15x) Solving 4 + 12x = -35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + 12x + -15x = -35 + 15x + -15x Combine like terms: 12x + -15x = -3x 4 + -3x = -35 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -3x = -35 + 0 4 + -3x = -35 Add '-4' to each side of the equation. 4 + -4 + -3x = -35 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -35 + -4 -3x = -35 + -4 Combine like terms: -35 + -4 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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