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Simplifying 2(4 + 3x) + -5(x + -1) = 2(8 + -5x) (4 * 2 + 3x * 2) + -5(x + -1) = 2(8 + -5x) (8 + 6x) + -5(x + -1) = 2(8 + -5x) Reorder the terms: 8 + 6x + -5(-1 + x) = 2(8 + -5x) 8 + 6x + (-1 * -5 + x * -5) = 2(8 + -5x) 8 + 6x + (5 + -5x) = 2(8 + -5x) Reorder the terms: 8 + 5 + 6x + -5x = 2(8 + -5x) Combine like terms: 8 + 5 = 13 13 + 6x + -5x = 2(8 + -5x) Combine like terms: 6x + -5x = 1x 13 + 1x = 2(8 + -5x) 13 + 1x = (8 * 2 + -5x * 2) 13 + 1x = (16 + -10x) Solving 13 + 1x = 16 + -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. 13 + 1x + 10x = 16 + -10x + 10x Combine like terms: 1x + 10x = 11x 13 + 11x = 16 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + 11x = 16 + 0 13 + 11x = 16 Add '-13' to each side of the equation. 13 + -13 + 11x = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = 16 + -13 11x = 16 + -13 Combine like terms: 16 + -13 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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