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Simplifying 3(2x + -1) + -5 = 2(2x + 3) + 4 Reorder the terms: 3(-1 + 2x) + -5 = 2(2x + 3) + 4 (-1 * 3 + 2x * 3) + -5 = 2(2x + 3) + 4 (-3 + 6x) + -5 = 2(2x + 3) + 4 Reorder the terms: -3 + -5 + 6x = 2(2x + 3) + 4 Combine like terms: -3 + -5 = -8 -8 + 6x = 2(2x + 3) + 4 Reorder the terms: -8 + 6x = 2(3 + 2x) + 4 -8 + 6x = (3 * 2 + 2x * 2) + 4 -8 + 6x = (6 + 4x) + 4 Reorder the terms: -8 + 6x = 6 + 4 + 4x Combine like terms: 6 + 4 = 10 -8 + 6x = 10 + 4x Solving -8 + 6x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x -8 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 2x = 10 + 0 -8 + 2x = 10 Add '8' to each side of the equation. -8 + 8 + 2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 10 + 8 2x = 10 + 8 Combine like terms: 10 + 8 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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