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Simplifying -2x + 2x = -6(1 + 3x) + 12(x + 10) Combine like terms: -2x + 2x = 0 0 = -6(1 + 3x) + 12(x + 10) 0 = (1 * -6 + 3x * -6) + 12(x + 10) 0 = (-6 + -18x) + 12(x + 10) Reorder the terms: 0 = -6 + -18x + 12(10 + x) 0 = -6 + -18x + (10 * 12 + x * 12) 0 = -6 + -18x + (120 + 12x) Reorder the terms: 0 = -6 + 120 + -18x + 12x Combine like terms: -6 + 120 = 114 0 = 114 + -18x + 12x Combine like terms: -18x + 12x = -6x 0 = 114 + -6x Solving 0 = 114 + -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. 0 + 6x = 114 + -6x + 6x Remove the zero: 6x = 114 + -6x + 6x Combine like terms: -6x + 6x = 0 6x = 114 + 0 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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