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Simplifying 6(x + -2) + 3(x + -2) = 18 Reorder the terms: 6(-2 + x) + 3(x + -2) = 18 (-2 * 6 + x * 6) + 3(x + -2) = 18 (-12 + 6x) + 3(x + -2) = 18 Reorder the terms: -12 + 6x + 3(-2 + x) = 18 -12 + 6x + (-2 * 3 + x * 3) = 18 -12 + 6x + (-6 + 3x) = 18 Reorder the terms: -12 + -6 + 6x + 3x = 18 Combine like terms: -12 + -6 = -18 -18 + 6x + 3x = 18 Combine like terms: 6x + 3x = 9x -18 + 9x = 18 Solving -18 + 9x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 18 + 18 9x = 18 + 18 Combine like terms: 18 + 18 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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