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Simplifying 12x + -1(2 + 2x) = 2 + -3(x + 4) 12x + (2 * -1 + 2x * -1) = 2 + -3(x + 4) 12x + (-2 + -2x) = 2 + -3(x + 4) Reorder the terms: -2 + 12x + -2x = 2 + -3(x + 4) Combine like terms: 12x + -2x = 10x -2 + 10x = 2 + -3(x + 4) Reorder the terms: -2 + 10x = 2 + -3(4 + x) -2 + 10x = 2 + (4 * -3 + x * -3) -2 + 10x = 2 + (-12 + -3x) Combine like terms: 2 + -12 = -10 -2 + 10x = -10 + -3x Solving -2 + 10x = -10 + -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. -2 + 10x + 3x = -10 + -3x + 3x Combine like terms: 10x + 3x = 13x -2 + 13x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 13x = -10 + 0 -2 + 13x = -10 Add '2' to each side of the equation. -2 + 2 + 13x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = -10 + 2 13x = -10 + 2 Combine like terms: -10 + 2 = -8 13x = -8 Divide each side by '13'. x = -0.6153846154 Simplifying x = -0.6153846154
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