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Simplifying 4(2x + -5) = 3 + -1(-2x + 1) Reorder the terms: 4(-5 + 2x) = 3 + -1(-2x + 1) (-5 * 4 + 2x * 4) = 3 + -1(-2x + 1) (-20 + 8x) = 3 + -1(-2x + 1) Reorder the terms: -20 + 8x = 3 + -1(1 + -2x) -20 + 8x = 3 + (1 * -1 + -2x * -1) -20 + 8x = 3 + (-1 + 2x) Combine like terms: 3 + -1 = 2 -20 + 8x = 2 + 2x Solving -20 + 8x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 8x + -2x = 2 + 2x + -2x Combine like terms: 8x + -2x = 6x -20 + 6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 6x = 2 + 0 -20 + 6x = 2 Add '20' to each side of the equation. -20 + 20 + 6x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 2 + 20 6x = 2 + 20 Combine like terms: 2 + 20 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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