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Simplifying (2x + 7) + (-10x + -4) = 3(-1x + 12) Reorder the terms: (7 + 2x) + (-10x + -4) = 3(-1x + 12) Remove parenthesis around (7 + 2x) 7 + 2x + (-10x + -4) = 3(-1x + 12) Reorder the terms: 7 + 2x + (-4 + -10x) = 3(-1x + 12) Remove parenthesis around (-4 + -10x) 7 + 2x + -4 + -10x = 3(-1x + 12) Reorder the terms: 7 + -4 + 2x + -10x = 3(-1x + 12) Combine like terms: 7 + -4 = 3 3 + 2x + -10x = 3(-1x + 12) Combine like terms: 2x + -10x = -8x 3 + -8x = 3(-1x + 12) Reorder the terms: 3 + -8x = 3(12 + -1x) 3 + -8x = (12 * 3 + -1x * 3) 3 + -8x = (36 + -3x) Solving 3 + -8x = 36 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3 + -8x + 3x = 36 + -3x + 3x Combine like terms: -8x + 3x = -5x 3 + -5x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + -5x = 36 + 0 3 + -5x = 36 Add '-3' to each side of the equation. 3 + -3 + -5x = 36 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 36 + -3 -5x = 36 + -3 Combine like terms: 36 + -3 = 33 -5x = 33 Divide each side by '-5'. x = -6.6 Simplifying x = -6.6
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