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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 = 18x 18x + -24x = 36 Combine like terms: 18x + -24x = -6x -6x = 36 Solving -6x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-6'. x = -6 Simplifying x = -6
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