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Simplifying 11 + 2(3x + -1) = 18 + -1(2x + -7) Reorder the terms: 11 + 2(-1 + 3x) = 18 + -1(2x + -7) 11 + (-1 * 2 + 3x * 2) = 18 + -1(2x + -7) 11 + (-2 + 6x) = 18 + -1(2x + -7) Combine like terms: 11 + -2 = 9 9 + 6x = 18 + -1(2x + -7) Reorder the terms: 9 + 6x = 18 + -1(-7 + 2x) 9 + 6x = 18 + (-7 * -1 + 2x * -1) 9 + 6x = 18 + (7 + -2x) Combine like terms: 18 + 7 = 25 9 + 6x = 25 + -2x Solving 9 + 6x = 25 + -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. 9 + 6x + 2x = 25 + -2x + 2x Combine like terms: 6x + 2x = 8x 9 + 8x = 25 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 8x = 25 + 0 9 + 8x = 25 Add '-9' to each side of the equation. 9 + -9 + 8x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 25 + -9 8x = 25 + -9 Combine like terms: 25 + -9 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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