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Simplifying 2(x + 1) + -5(3 + -2x) = 8(4 + x) Reorder the terms: 2(1 + x) + -5(3 + -2x) = 8(4 + x) (1 * 2 + x * 2) + -5(3 + -2x) = 8(4 + x) (2 + 2x) + -5(3 + -2x) = 8(4 + x) 2 + 2x + (3 * -5 + -2x * -5) = 8(4 + x) 2 + 2x + (-15 + 10x) = 8(4 + x) Reorder the terms: 2 + -15 + 2x + 10x = 8(4 + x) Combine like terms: 2 + -15 = -13 -13 + 2x + 10x = 8(4 + x) Combine like terms: 2x + 10x = 12x -13 + 12x = 8(4 + x) -13 + 12x = (4 * 8 + x * 8) -13 + 12x = (32 + 8x) Solving -13 + 12x = 32 + 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. -13 + 12x + -8x = 32 + 8x + -8x Combine like terms: 12x + -8x = 4x -13 + 4x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + 4x = 32 + 0 -13 + 4x = 32 Add '13' to each side of the equation. -13 + 13 + 4x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 32 + 13 4x = 32 + 13 Combine like terms: 32 + 13 = 45 4x = 45 Divide each side by '4'. x = 11.25 Simplifying x = 11.25
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