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Simplifying 5(8x + 2) = 5x + -1 + 3x + -17 Reorder the terms: 5(2 + 8x) = 5x + -1 + 3x + -17 (2 * 5 + 8x * 5) = 5x + -1 + 3x + -17 (10 + 40x) = 5x + -1 + 3x + -17 Reorder the terms: 10 + 40x = -1 + -17 + 5x + 3x Combine like terms: -1 + -17 = -18 10 + 40x = -18 + 5x + 3x Combine like terms: 5x + 3x = 8x 10 + 40x = -18 + 8x Solving 10 + 40x = -18 + 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. 10 + 40x + -8x = -18 + 8x + -8x Combine like terms: 40x + -8x = 32x 10 + 32x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 32x = -18 + 0 10 + 32x = -18 Add '-10' to each side of the equation. 10 + -10 + 32x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 32x = -18 + -10 32x = -18 + -10 Combine like terms: -18 + -10 = -28 32x = -28 Divide each side by '32'. x = -0.875 Simplifying x = -0.875
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