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Simplifying 9(x + 1) + 2 = -2(x + -3) + -10 Reorder the terms: 9(1 + x) + 2 = -2(x + -3) + -10 (1 * 9 + x * 9) + 2 = -2(x + -3) + -10 (9 + 9x) + 2 = -2(x + -3) + -10 Reorder the terms: 9 + 2 + 9x = -2(x + -3) + -10 Combine like terms: 9 + 2 = 11 11 + 9x = -2(x + -3) + -10 Reorder the terms: 11 + 9x = -2(-3 + x) + -10 11 + 9x = (-3 * -2 + x * -2) + -10 11 + 9x = (6 + -2x) + -10 Reorder the terms: 11 + 9x = 6 + -10 + -2x Combine like terms: 6 + -10 = -4 11 + 9x = -4 + -2x Solving 11 + 9x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 11 + 9x + 2x = -4 + -2x + 2x Combine like terms: 9x + 2x = 11x 11 + 11x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 11x = -4 + 0 11 + 11x = -4 Add '-11' to each side of the equation. 11 + -11 + 11x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 11x = -4 + -11 11x = -4 + -11 Combine like terms: -4 + -11 = -15 11x = -15 Divide each side by '11'. x = -1.363636364 Simplifying x = -1.363636364
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