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Simplifying 11 + (2 + -9x) = 15 + -1(2x + 9) Remove parenthesis around (2 + -9x) 11 + 2 + -9x = 15 + -1(2x + 9) Combine like terms: 11 + 2 = 13 13 + -9x = 15 + -1(2x + 9) Reorder the terms: 13 + -9x = 15 + -1(9 + 2x) 13 + -9x = 15 + (9 * -1 + 2x * -1) 13 + -9x = 15 + (-9 + -2x) Combine like terms: 15 + -9 = 6 13 + -9x = 6 + -2x Solving 13 + -9x = 6 + -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. 13 + -9x + 2x = 6 + -2x + 2x Combine like terms: -9x + 2x = -7x 13 + -7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -7x = 6 + 0 13 + -7x = 6 Add '-13' to each side of the equation. 13 + -13 + -7x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = 6 + -13 -7x = 6 + -13 Combine like terms: 6 + -13 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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