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Simplifying 5(x + 8) + -3 = 8(x + 5) + -18 Reorder the terms: 5(8 + x) + -3 = 8(x + 5) + -18 (8 * 5 + x * 5) + -3 = 8(x + 5) + -18 (40 + 5x) + -3 = 8(x + 5) + -18 Reorder the terms: 40 + -3 + 5x = 8(x + 5) + -18 Combine like terms: 40 + -3 = 37 37 + 5x = 8(x + 5) + -18 Reorder the terms: 37 + 5x = 8(5 + x) + -18 37 + 5x = (5 * 8 + x * 8) + -18 37 + 5x = (40 + 8x) + -18 Reorder the terms: 37 + 5x = 40 + -18 + 8x Combine like terms: 40 + -18 = 22 37 + 5x = 22 + 8x Solving 37 + 5x = 22 + 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. 37 + 5x + -8x = 22 + 8x + -8x Combine like terms: 5x + -8x = -3x 37 + -3x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 37 + -3x = 22 + 0 37 + -3x = 22 Add '-37' to each side of the equation. 37 + -37 + -3x = 22 + -37 Combine like terms: 37 + -37 = 0 0 + -3x = 22 + -37 -3x = 22 + -37 Combine like terms: 22 + -37 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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