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Simplifying 4(2x + -5) = 3 + -2(-2x + 1) Reorder the terms: 4(-5 + 2x) = 3 + -2(-2x + 1) (-5 * 4 + 2x * 4) = 3 + -2(-2x + 1) (-20 + 8x) = 3 + -2(-2x + 1) Reorder the terms: -20 + 8x = 3 + -2(1 + -2x) -20 + 8x = 3 + (1 * -2 + -2x * -2) -20 + 8x = 3 + (-2 + 4x) Combine like terms: 3 + -2 = 1 -20 + 8x = 1 + 4x Solving -20 + 8x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 8x + -4x = 1 + 4x + -4x Combine like terms: 8x + -4x = 4x -20 + 4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 4x = 1 + 0 -20 + 4x = 1 Add '20' to each side of the equation. -20 + 20 + 4x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 1 + 20 4x = 1 + 20 Combine like terms: 1 + 20 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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