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Simplifying 2x + -5 + -3(x + 1) = 7x + 32 + -9 Reorder the terms: 2x + -5 + -3(1 + x) = 7x + 32 + -9 2x + -5 + (1 * -3 + x * -3) = 7x + 32 + -9 2x + -5 + (-3 + -3x) = 7x + 32 + -9 Reorder the terms: -5 + -3 + 2x + -3x = 7x + 32 + -9 Combine like terms: -5 + -3 = -8 -8 + 2x + -3x = 7x + 32 + -9 Combine like terms: 2x + -3x = -1x -8 + -1x = 7x + 32 + -9 Reorder the terms: -8 + -1x = 32 + -9 + 7x Combine like terms: 32 + -9 = 23 -8 + -1x = 23 + 7x Solving -8 + -1x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + -1x + -7x = 23 + 7x + -7x Combine like terms: -1x + -7x = -8x -8 + -8x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -8x = 23 + 0 -8 + -8x = 23 Add '8' to each side of the equation. -8 + 8 + -8x = 23 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 23 + 8 -8x = 23 + 8 Combine like terms: 23 + 8 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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