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Simplifying 12x + 3(x + -1) = -2(x + 1) + 12 Reorder the terms: 12x + 3(-1 + x) = -2(x + 1) + 12 12x + (-1 * 3 + x * 3) = -2(x + 1) + 12 12x + (-3 + 3x) = -2(x + 1) + 12 Reorder the terms: -3 + 12x + 3x = -2(x + 1) + 12 Combine like terms: 12x + 3x = 15x -3 + 15x = -2(x + 1) + 12 Reorder the terms: -3 + 15x = -2(1 + x) + 12 -3 + 15x = (1 * -2 + x * -2) + 12 -3 + 15x = (-2 + -2x) + 12 Reorder the terms: -3 + 15x = -2 + 12 + -2x Combine like terms: -2 + 12 = 10 -3 + 15x = 10 + -2x Solving -3 + 15x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 15x + 2x = 10 + -2x + 2x Combine like terms: 15x + 2x = 17x -3 + 17x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 17x = 10 + 0 -3 + 17x = 10 Add '3' to each side of the equation. -3 + 3 + 17x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 17x = 10 + 3 17x = 10 + 3 Combine like terms: 10 + 3 = 13 17x = 13 Divide each side by '17'. x = 0.7647058824 Simplifying x = 0.7647058824
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