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