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Simplifying 13x + 12 + -6(2x + 2) = 2(x + 2) Reorder the terms: 13x + 12 + -6(2 + 2x) = 2(x + 2) 13x + 12 + (2 * -6 + 2x * -6) = 2(x + 2) 13x + 12 + (-12 + -12x) = 2(x + 2) Reorder the terms: 12 + -12 + 13x + -12x = 2(x + 2) Combine like terms: 12 + -12 = 0 0 + 13x + -12x = 2(x + 2) 13x + -12x = 2(x + 2) Combine like terms: 13x + -12x = 1x 1x = 2(x + 2) Reorder the terms: 1x = 2(2 + x) 1x = (2 * 2 + x * 2) 1x = (4 + 2x) Solving 1x = 4 + 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. 1x + -2x = 4 + 2x + -2x Combine like terms: 1x + -2x = -1x -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 4 + 0 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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