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Simplifying 5(x + 8) + -2 = 8(x + 3) + -1 Reorder the terms: 5(8 + x) + -2 = 8(x + 3) + -1 (8 * 5 + x * 5) + -2 = 8(x + 3) + -1 (40 + 5x) + -2 = 8(x + 3) + -1 Reorder the terms: 40 + -2 + 5x = 8(x + 3) + -1 Combine like terms: 40 + -2 = 38 38 + 5x = 8(x + 3) + -1 Reorder the terms: 38 + 5x = 8(3 + x) + -1 38 + 5x = (3 * 8 + x * 8) + -1 38 + 5x = (24 + 8x) + -1 Reorder the terms: 38 + 5x = 24 + -1 + 8x Combine like terms: 24 + -1 = 23 38 + 5x = 23 + 8x Solving 38 + 5x = 23 + 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. 38 + 5x + -8x = 23 + 8x + -8x Combine like terms: 5x + -8x = -3x 38 + -3x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -3x = 23 + 0 38 + -3x = 23 Add '-38' to each side of the equation. 38 + -38 + -3x = 23 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 23 + -38 -3x = 23 + -38 Combine like terms: 23 + -38 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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