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Simplifying 4(3x + 3) = 2(5x + 7) + -10 Reorder the terms: 4(3 + 3x) = 2(5x + 7) + -10 (3 * 4 + 3x * 4) = 2(5x + 7) + -10 (12 + 12x) = 2(5x + 7) + -10 Reorder the terms: 12 + 12x = 2(7 + 5x) + -10 12 + 12x = (7 * 2 + 5x * 2) + -10 12 + 12x = (14 + 10x) + -10 Reorder the terms: 12 + 12x = 14 + -10 + 10x Combine like terms: 14 + -10 = 4 12 + 12x = 4 + 10x Solving 12 + 12x = 4 + 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. 12 + 12x + -10x = 4 + 10x + -10x Combine like terms: 12x + -10x = 2x 12 + 2x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 2x = 4 + 0 12 + 2x = 4 Add '-12' to each side of the equation. 12 + -12 + 2x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 4 + -12 2x = 4 + -12 Combine like terms: 4 + -12 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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