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Simplifying 9(x + 1) + 4(x + 2) = 2x + -11 + 4(2x + -11) Reorder the terms: 9(1 + x) + 4(x + 2) = 2x + -11 + 4(2x + -11) (1 * 9 + x * 9) + 4(x + 2) = 2x + -11 + 4(2x + -11) (9 + 9x) + 4(x + 2) = 2x + -11 + 4(2x + -11) Reorder the terms: 9 + 9x + 4(2 + x) = 2x + -11 + 4(2x + -11) 9 + 9x + (2 * 4 + x * 4) = 2x + -11 + 4(2x + -11) 9 + 9x + (8 + 4x) = 2x + -11 + 4(2x + -11) Reorder the terms: 9 + 8 + 9x + 4x = 2x + -11 + 4(2x + -11) Combine like terms: 9 + 8 = 17 17 + 9x + 4x = 2x + -11 + 4(2x + -11) Combine like terms: 9x + 4x = 13x 17 + 13x = 2x + -11 + 4(2x + -11) Reorder the terms: 17 + 13x = 2x + -11 + 4(-11 + 2x) 17 + 13x = 2x + -11 + (-11 * 4 + 2x * 4) 17 + 13x = 2x + -11 + (-44 + 8x) Reorder the terms: 17 + 13x = -11 + -44 + 2x + 8x Combine like terms: -11 + -44 = -55 17 + 13x = -55 + 2x + 8x Combine like terms: 2x + 8x = 10x 17 + 13x = -55 + 10x Solving 17 + 13x = -55 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 13x + -10x = -55 + 10x + -10x Combine like terms: 13x + -10x = 3x 17 + 3x = -55 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + 3x = -55 + 0 17 + 3x = -55 Add '-17' to each side of the equation. 17 + -17 + 3x = -55 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = -55 + -17 3x = -55 + -17 Combine like terms: -55 + -17 = -72 3x = -72 Divide each side by '3'. x = -24 Simplifying x = -24
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