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Simplifying 5x + (x + 8) = 2x + -1(-24) Reorder the terms: 5x + (8 + x) = 2x + -1(-24) Remove parenthesis around (8 + x) 5x + 8 + x = 2x + -1(-24) Reorder the terms: 8 + 5x + x = 2x + -1(-24) Combine like terms: 5x + x = 6x 8 + 6x = 2x + -1(-24) Multiply -1 * -24 8 + 6x = 2x + 24 Reorder the terms: 8 + 6x = 24 + 2x Solving 8 + 6x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 6x + -2x = 24 + 2x + -2x Combine like terms: 6x + -2x = 4x 8 + 4x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 4x = 24 + 0 8 + 4x = 24 Add '-8' to each side of the equation. 8 + -8 + 4x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 24 + -8 4x = 24 + -8 Combine like terms: 24 + -8 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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