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Simplifying -2(x + 1) + -3(x + 1) = 4(x + 1) + 9 Reorder the terms: -2(1 + x) + -3(x + 1) = 4(x + 1) + 9 (1 * -2 + x * -2) + -3(x + 1) = 4(x + 1) + 9 (-2 + -2x) + -3(x + 1) = 4(x + 1) + 9 Reorder the terms: -2 + -2x + -3(1 + x) = 4(x + 1) + 9 -2 + -2x + (1 * -3 + x * -3) = 4(x + 1) + 9 -2 + -2x + (-3 + -3x) = 4(x + 1) + 9 Reorder the terms: -2 + -3 + -2x + -3x = 4(x + 1) + 9 Combine like terms: -2 + -3 = -5 -5 + -2x + -3x = 4(x + 1) + 9 Combine like terms: -2x + -3x = -5x -5 + -5x = 4(x + 1) + 9 Reorder the terms: -5 + -5x = 4(1 + x) + 9 -5 + -5x = (1 * 4 + x * 4) + 9 -5 + -5x = (4 + 4x) + 9 Reorder the terms: -5 + -5x = 4 + 9 + 4x Combine like terms: 4 + 9 = 13 -5 + -5x = 13 + 4x Solving -5 + -5x = 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. -5 + -5x + -4x = 13 + 4x + -4x Combine like terms: -5x + -4x = -9x -5 + -9x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -9x = 13 + 0 -5 + -9x = 13 Add '5' to each side of the equation. -5 + 5 + -9x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 13 + 5 -9x = 13 + 5 Combine like terms: 13 + 5 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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