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Simplifying 2(4 + -1x) = 5(3x + 2) (4 * 2 + -1x * 2) = 5(3x + 2) (8 + -2x) = 5(3x + 2) Reorder the terms: 8 + -2x = 5(2 + 3x) 8 + -2x = (2 * 5 + 3x * 5) 8 + -2x = (10 + 15x) Solving 8 + -2x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + -2x + -15x = 10 + 15x + -15x Combine like terms: -2x + -15x = -17x 8 + -17x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -17x = 10 + 0 8 + -17x = 10 Add '-8' to each side of the equation. 8 + -8 + -17x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -17x = 10 + -8 -17x = 10 + -8 Combine like terms: 10 + -8 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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