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Simplifying 3(2x + 4) + 3 = 5(2x + -7) Reorder the terms: 3(4 + 2x) + 3 = 5(2x + -7) (4 * 3 + 2x * 3) + 3 = 5(2x + -7) (12 + 6x) + 3 = 5(2x + -7) Reorder the terms: 12 + 3 + 6x = 5(2x + -7) Combine like terms: 12 + 3 = 15 15 + 6x = 5(2x + -7) Reorder the terms: 15 + 6x = 5(-7 + 2x) 15 + 6x = (-7 * 5 + 2x * 5) 15 + 6x = (-35 + 10x) Solving 15 + 6x = -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. 15 + 6x + -10x = -35 + 10x + -10x Combine like terms: 6x + -10x = -4x 15 + -4x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -4x = -35 + 0 15 + -4x = -35 Add '-15' to each side of the equation. 15 + -15 + -4x = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -35 + -15 -4x = -35 + -15 Combine like terms: -35 + -15 = -50 -4x = -50 Divide each side by '-4'. x = 12.5 Simplifying x = 12.5
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