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Simplifying 4 + 11(10 + 13x) = 13x + -2(x + 9) 4 + (10 * 11 + 13x * 11) = 13x + -2(x + 9) 4 + (110 + 143x) = 13x + -2(x + 9) Combine like terms: 4 + 110 = 114 114 + 143x = 13x + -2(x + 9) Reorder the terms: 114 + 143x = 13x + -2(9 + x) 114 + 143x = 13x + (9 * -2 + x * -2) 114 + 143x = 13x + (-18 + -2x) Reorder the terms: 114 + 143x = -18 + 13x + -2x Combine like terms: 13x + -2x = 11x 114 + 143x = -18 + 11x Solving 114 + 143x = -18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 114 + 143x + -11x = -18 + 11x + -11x Combine like terms: 143x + -11x = 132x 114 + 132x = -18 + 11x + -11x Combine like terms: 11x + -11x = 0 114 + 132x = -18 + 0 114 + 132x = -18 Add '-114' to each side of the equation. 114 + -114 + 132x = -18 + -114 Combine like terms: 114 + -114 = 0 0 + 132x = -18 + -114 132x = -18 + -114 Combine like terms: -18 + -114 = -132 132x = -132 Divide each side by '132'. x = -1 Simplifying x = -1
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