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Simplifying 2(5x + 12) + -10x = -4(3x + 3) + 12 Reorder the terms: 2(12 + 5x) + -10x = -4(3x + 3) + 12 (12 * 2 + 5x * 2) + -10x = -4(3x + 3) + 12 (24 + 10x) + -10x = -4(3x + 3) + 12 Combine like terms: 10x + -10x = 0 24 + 0 = -4(3x + 3) + 12 24 = -4(3x + 3) + 12 Reorder the terms: 24 = -4(3 + 3x) + 12 24 = (3 * -4 + 3x * -4) + 12 24 = (-12 + -12x) + 12 Reorder the terms: 24 = -12 + 12 + -12x Combine like terms: -12 + 12 = 0 24 = 0 + -12x 24 = -12x Solving 24 = -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. 24 + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 24 + 12x = 0 Add '-24' to each side of the equation. 24 + -24 + 12x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 0 + -24 12x = 0 + -24 Combine like terms: 0 + -24 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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