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Simplifying 12 + -2(x + -3) = 5x + -2(3x + 2) Reorder the terms: 12 + -2(-3 + x) = 5x + -2(3x + 2) 12 + (-3 * -2 + x * -2) = 5x + -2(3x + 2) 12 + (6 + -2x) = 5x + -2(3x + 2) Combine like terms: 12 + 6 = 18 18 + -2x = 5x + -2(3x + 2) Reorder the terms: 18 + -2x = 5x + -2(2 + 3x) 18 + -2x = 5x + (2 * -2 + 3x * -2) 18 + -2x = 5x + (-4 + -6x) Reorder the terms: 18 + -2x = -4 + 5x + -6x Combine like terms: 5x + -6x = -1x 18 + -2x = -4 + -1x Solving 18 + -2x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 18 + -2x + x = -4 + -1x + x Combine like terms: -2x + x = -1x 18 + -1x = -4 + -1x + x Combine like terms: -1x + x = 0 18 + -1x = -4 + 0 18 + -1x = -4 Add '-18' to each side of the equation. 18 + -18 + -1x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -4 + -18 -1x = -4 + -18 Combine like terms: -4 + -18 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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