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Simplifying -9(x + 1) + -3 = 2x + 11 + -3(x + 1) Reorder the terms: -9(1 + x) + -3 = 2x + 11 + -3(x + 1) (1 * -9 + x * -9) + -3 = 2x + 11 + -3(x + 1) (-9 + -9x) + -3 = 2x + 11 + -3(x + 1) Reorder the terms: -9 + -3 + -9x = 2x + 11 + -3(x + 1) Combine like terms: -9 + -3 = -12 -12 + -9x = 2x + 11 + -3(x + 1) Reorder the terms: -12 + -9x = 2x + 11 + -3(1 + x) -12 + -9x = 2x + 11 + (1 * -3 + x * -3) -12 + -9x = 2x + 11 + (-3 + -3x) Reorder the terms: -12 + -9x = 11 + -3 + 2x + -3x Combine like terms: 11 + -3 = 8 -12 + -9x = 8 + 2x + -3x Combine like terms: 2x + -3x = -1x -12 + -9x = 8 + -1x Solving -12 + -9x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + -9x + x = 8 + -1x + x Combine like terms: -9x + x = -8x -12 + -8x = 8 + -1x + x Combine like terms: -1x + x = 0 -12 + -8x = 8 + 0 -12 + -8x = 8 Add '12' to each side of the equation. -12 + 12 + -8x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 8 + 12 -8x = 8 + 12 Combine like terms: 8 + 12 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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