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Simplifying 3(2x + 1) + -8 = 5x + 2(x + 1) Reorder the terms: 3(1 + 2x) + -8 = 5x + 2(x + 1) (1 * 3 + 2x * 3) + -8 = 5x + 2(x + 1) (3 + 6x) + -8 = 5x + 2(x + 1) Reorder the terms: 3 + -8 + 6x = 5x + 2(x + 1) Combine like terms: 3 + -8 = -5 -5 + 6x = 5x + 2(x + 1) Reorder the terms: -5 + 6x = 5x + 2(1 + x) -5 + 6x = 5x + (1 * 2 + x * 2) -5 + 6x = 5x + (2 + 2x) Reorder the terms: -5 + 6x = 2 + 5x + 2x Combine like terms: 5x + 2x = 7x -5 + 6x = 2 + 7x Solving -5 + 6x = 2 + 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. -5 + 6x + -7x = 2 + 7x + -7x Combine like terms: 6x + -7x = -1x -5 + -1x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -1x = 2 + 0 -5 + -1x = 2 Add '5' to each side of the equation. -5 + 5 + -1x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 2 + 5 -1x = 2 + 5 Combine like terms: 2 + 5 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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