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Simplifying 5(2x + 1) + -3x = 8(x + 5) Reorder the terms: 5(1 + 2x) + -3x = 8(x + 5) (1 * 5 + 2x * 5) + -3x = 8(x + 5) (5 + 10x) + -3x = 8(x + 5) Combine like terms: 10x + -3x = 7x 5 + 7x = 8(x + 5) Reorder the terms: 5 + 7x = 8(5 + x) 5 + 7x = (5 * 8 + x * 8) 5 + 7x = (40 + 8x) Solving 5 + 7x = 40 + 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. 5 + 7x + -8x = 40 + 8x + -8x Combine like terms: 7x + -8x = -1x 5 + -1x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -1x = 40 + 0 5 + -1x = 40 Add '-5' to each side of the equation. 5 + -5 + -1x = 40 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 40 + -5 -1x = 40 + -5 Combine like terms: 40 + -5 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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