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Simplifying 5(x + 10) = 8(x + 1) Reorder the terms: 5(10 + x) = 8(x + 1) (10 * 5 + x * 5) = 8(x + 1) (50 + 5x) = 8(x + 1) Reorder the terms: 50 + 5x = 8(1 + x) 50 + 5x = (1 * 8 + x * 8) 50 + 5x = (8 + 8x) Solving 50 + 5x = 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. 50 + 5x + -8x = 8 + 8x + -8x Combine like terms: 5x + -8x = -3x 50 + -3x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 50 + -3x = 8 + 0 50 + -3x = 8 Add '-50' to each side of the equation. 50 + -50 + -3x = 8 + -50 Combine like terms: 50 + -50 = 0 0 + -3x = 8 + -50 -3x = 8 + -50 Combine like terms: 8 + -50 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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