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