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Simplifying 18 + 5x + -7 = 2(3x + -9) Reorder the terms: 18 + -7 + 5x = 2(3x + -9) Combine like terms: 18 + -7 = 11 11 + 5x = 2(3x + -9) Reorder the terms: 11 + 5x = 2(-9 + 3x) 11 + 5x = (-9 * 2 + 3x * 2) 11 + 5x = (-18 + 6x) Solving 11 + 5x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 5x + -6x = -18 + 6x + -6x Combine like terms: 5x + -6x = -1x 11 + -1x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -1x = -18 + 0 11 + -1x = -18 Add '-11' to each side of the equation. 11 + -11 + -1x = -18 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -18 + -11 -1x = -18 + -11 Combine like terms: -18 + -11 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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