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Simplifying 11 + -2(x + -3) = 9 + -1(x + -4) + -3x Reorder the terms: 11 + -2(-3 + x) = 9 + -1(x + -4) + -3x 11 + (-3 * -2 + x * -2) = 9 + -1(x + -4) + -3x 11 + (6 + -2x) = 9 + -1(x + -4) + -3x Combine like terms: 11 + 6 = 17 17 + -2x = 9 + -1(x + -4) + -3x Reorder the terms: 17 + -2x = 9 + -1(-4 + x) + -3x 17 + -2x = 9 + (-4 * -1 + x * -1) + -3x 17 + -2x = 9 + (4 + -1x) + -3x Combine like terms: 9 + 4 = 13 17 + -2x = 13 + -1x + -3x Combine like terms: -1x + -3x = -4x 17 + -2x = 13 + -4x Solving 17 + -2x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 17 + -2x + 4x = 13 + -4x + 4x Combine like terms: -2x + 4x = 2x 17 + 2x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 2x = 13 + 0 17 + 2x = 13 Add '-17' to each side of the equation. 17 + -17 + 2x = 13 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 13 + -17 2x = 13 + -17 Combine like terms: 13 + -17 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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