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Simplifying 2(3x + 4) + 10 = -4x + -12 Reorder the terms: 2(4 + 3x) + 10 = -4x + -12 (4 * 2 + 3x * 2) + 10 = -4x + -12 (8 + 6x) + 10 = -4x + -12 Reorder the terms: 8 + 10 + 6x = -4x + -12 Combine like terms: 8 + 10 = 18 18 + 6x = -4x + -12 Reorder the terms: 18 + 6x = -12 + -4x Solving 18 + 6x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + 6x + 4x = -12 + -4x + 4x Combine like terms: 6x + 4x = 10x 18 + 10x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 10x = -12 + 0 18 + 10x = -12 Add '-18' to each side of the equation. 18 + -18 + 10x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = -12 + -18 10x = -12 + -18 Combine like terms: -12 + -18 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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