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Simplifying 3(2x + -1) + 4 = 5(5 + 2x) + -8 Reorder the terms: 3(-1 + 2x) + 4 = 5(5 + 2x) + -8 (-1 * 3 + 2x * 3) + 4 = 5(5 + 2x) + -8 (-3 + 6x) + 4 = 5(5 + 2x) + -8 Reorder the terms: -3 + 4 + 6x = 5(5 + 2x) + -8 Combine like terms: -3 + 4 = 1 1 + 6x = 5(5 + 2x) + -8 1 + 6x = (5 * 5 + 2x * 5) + -8 1 + 6x = (25 + 10x) + -8 Reorder the terms: 1 + 6x = 25 + -8 + 10x Combine like terms: 25 + -8 = 17 1 + 6x = 17 + 10x Solving 1 + 6x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 6x + -10x = 17 + 10x + -10x Combine like terms: 6x + -10x = -4x 1 + -4x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -4x = 17 + 0 1 + -4x = 17 Add '-1' to each side of the equation. 1 + -1 + -4x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 17 + -1 -4x = 17 + -1 Combine like terms: 17 + -1 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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