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Simplifying 4x + (x + 8) = 3x + -1(-32) Reorder the terms: 4x + (8 + x) = 3x + -1(-32) Remove parenthesis around (8 + x) 4x + 8 + x = 3x + -1(-32) Reorder the terms: 8 + 4x + x = 3x + -1(-32) Combine like terms: 4x + x = 5x 8 + 5x = 3x + -1(-32) Multiply -1 * -32 8 + 5x = 3x + 32 Reorder the terms: 8 + 5x = 32 + 3x Solving 8 + 5x = 32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 5x + -3x = 32 + 3x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 2x = 32 + 0 8 + 2x = 32 Add '-8' to each side of the equation. 8 + -8 + 2x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 32 + -8 2x = 32 + -8 Combine like terms: 32 + -8 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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