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Simplifying 3(5 + x) + -2 = 8(2 + -1x) (5 * 3 + x * 3) + -2 = 8(2 + -1x) (15 + 3x) + -2 = 8(2 + -1x) Reorder the terms: 15 + -2 + 3x = 8(2 + -1x) Combine like terms: 15 + -2 = 13 13 + 3x = 8(2 + -1x) 13 + 3x = (2 * 8 + -1x * 8) 13 + 3x = (16 + -8x) Solving 13 + 3x = 16 + -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 + 3x + 8x = 16 + -8x + 8x Combine like terms: 3x + 8x = 11x 13 + 11x = 16 + -8x + 8x Combine like terms: -8x + 8x = 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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