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Simplifying -90 = 11(12 + -2x) + -1(5x + 2) -90 = (12 * 11 + -2x * 11) + -1(5x + 2) -90 = (132 + -22x) + -1(5x + 2) Reorder the terms: -90 = 132 + -22x + -1(2 + 5x) -90 = 132 + -22x + (2 * -1 + 5x * -1) -90 = 132 + -22x + (-2 + -5x) Reorder the terms: -90 = 132 + -2 + -22x + -5x Combine like terms: 132 + -2 = 130 -90 = 130 + -22x + -5x Combine like terms: -22x + -5x = -27x -90 = 130 + -27x Solving -90 = 130 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -90 + 27x = 130 + -27x + 27x Combine like terms: -27x + 27x = 0 -90 + 27x = 130 + 0 -90 + 27x = 130 Add '90' to each side of the equation. -90 + 90 + 27x = 130 + 90 Combine like terms: -90 + 90 = 0 0 + 27x = 130 + 90 27x = 130 + 90 Combine like terms: 130 + 90 = 220 27x = 220 Divide each side by '27'. x = 8.148148148 Simplifying x = 8.148148148
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