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Simplifying -90 = 12(12 + -2x) + -1(5x + 2) -90 = (12 * 12 + -2x * 12) + -1(5x + 2) -90 = (144 + -24x) + -1(5x + 2) Reorder the terms: -90 = 144 + -24x + -1(2 + 5x) -90 = 144 + -24x + (2 * -1 + 5x * -1) -90 = 144 + -24x + (-2 + -5x) Reorder the terms: -90 = 144 + -2 + -24x + -5x Combine like terms: 144 + -2 = 142 -90 = 142 + -24x + -5x Combine like terms: -24x + -5x = -29x -90 = 142 + -29x Solving -90 = 142 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -90 + 29x = 142 + -29x + 29x Combine like terms: -29x + 29x = 0 -90 + 29x = 142 + 0 -90 + 29x = 142 Add '90' to each side of the equation. -90 + 90 + 29x = 142 + 90 Combine like terms: -90 + 90 = 0 0 + 29x = 142 + 90 29x = 142 + 90 Combine like terms: 142 + 90 = 232 29x = 232 Divide each side by '29'. x = 8 Simplifying x = 8
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