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Simplifying 6(x + -2) + -1(x + 2) = 3x + -18 Reorder the terms: 6(-2 + x) + -1(x + 2) = 3x + -18 (-2 * 6 + x * 6) + -1(x + 2) = 3x + -18 (-12 + 6x) + -1(x + 2) = 3x + -18 Reorder the terms: -12 + 6x + -1(2 + x) = 3x + -18 -12 + 6x + (2 * -1 + x * -1) = 3x + -18 -12 + 6x + (-2 + -1x) = 3x + -18 Reorder the terms: -12 + -2 + 6x + -1x = 3x + -18 Combine like terms: -12 + -2 = -14 -14 + 6x + -1x = 3x + -18 Combine like terms: 6x + -1x = 5x -14 + 5x = 3x + -18 Reorder the terms: -14 + 5x = -18 + 3x Solving -14 + 5x = -18 + 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. -14 + 5x + -3x = -18 + 3x + -3x Combine like terms: 5x + -3x = 2x -14 + 2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 2x = -18 + 0 -14 + 2x = -18 Add '14' to each side of the equation. -14 + 14 + 2x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -18 + 14 2x = -18 + 14 Combine like terms: -18 + 14 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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