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Simplifying 5(4 + -3x) = 8x + -17 (4 * 5 + -3x * 5) = 8x + -17 (20 + -15x) = 8x + -17 Reorder the terms: 20 + -15x = -17 + 8x Solving 20 + -15x = -17 + 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. 20 + -15x + -8x = -17 + 8x + -8x Combine like terms: -15x + -8x = -23x 20 + -23x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -23x = -17 + 0 20 + -23x = -17 Add '-20' to each side of the equation. 20 + -20 + -23x = -17 + -20 Combine like terms: 20 + -20 = 0 0 + -23x = -17 + -20 -23x = -17 + -20 Combine like terms: -17 + -20 = -37 -23x = -37 Divide each side by '-23'. x = 1.608695652 Simplifying x = 1.608695652
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