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Simplifying 2(-3x + 9) + 2(6x + -12) + -24x + 6 = 36 Reorder the terms: 2(9 + -3x) + 2(6x + -12) + -24x + 6 = 36 (9 * 2 + -3x * 2) + 2(6x + -12) + -24x + 6 = 36 (18 + -6x) + 2(6x + -12) + -24x + 6 = 36 Reorder the terms: 18 + -6x + 2(-12 + 6x) + -24x + 6 = 36 18 + -6x + (-12 * 2 + 6x * 2) + -24x + 6 = 36 18 + -6x + (-24 + 12x) + -24x + 6 = 36 Reorder the terms: 18 + -24 + 6 + -6x + 12x + -24x = 36 Combine like terms: 18 + -24 = -6 -6 + 6 + -6x + 12x + -24x = 36 Combine like terms: -6 + 6 = 0 0 + -6x + 12x + -24x = 36 -6x + 12x + -24x = 36 Combine like terms: -6x + 12x = 6x 6x + -24x = 36 Combine like terms: 6x + -24x = -18x -18x = 36 Solving -18x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-18'. x = -2 Simplifying x = -2
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