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Simplifying 4(5 + -1x) = 2x + -5 + 3(x + -1) (5 * 4 + -1x * 4) = 2x + -5 + 3(x + -1) (20 + -4x) = 2x + -5 + 3(x + -1) Reorder the terms: 20 + -4x = 2x + -5 + 3(-1 + x) 20 + -4x = 2x + -5 + (-1 * 3 + x * 3) 20 + -4x = 2x + -5 + (-3 + 3x) Reorder the terms: 20 + -4x = -5 + -3 + 2x + 3x Combine like terms: -5 + -3 = -8 20 + -4x = -8 + 2x + 3x Combine like terms: 2x + 3x = 5x 20 + -4x = -8 + 5x Solving 20 + -4x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + -4x + -5x = -8 + 5x + -5x Combine like terms: -4x + -5x = -9x 20 + -9x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -9x = -8 + 0 20 + -9x = -8 Add '-20' to each side of the equation. 20 + -20 + -9x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = -8 + -20 -9x = -8 + -20 Combine like terms: -8 + -20 = -28 -9x = -28 Divide each side by '-9'. x = 3.111111111 Simplifying x = 3.111111111
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