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Simplifying 20 + 5(1 + -1x) = 2x + -3(x + -2) 20 + (1 * 5 + -1x * 5) = 2x + -3(x + -2) 20 + (5 + -5x) = 2x + -3(x + -2) Combine like terms: 20 + 5 = 25 25 + -5x = 2x + -3(x + -2) Reorder the terms: 25 + -5x = 2x + -3(-2 + x) 25 + -5x = 2x + (-2 * -3 + x * -3) 25 + -5x = 2x + (6 + -3x) Reorder the terms: 25 + -5x = 6 + 2x + -3x Combine like terms: 2x + -3x = -1x 25 + -5x = 6 + -1x Solving 25 + -5x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 25 + -5x + x = 6 + -1x + x Combine like terms: -5x + x = -4x 25 + -4x = 6 + -1x + x Combine like terms: -1x + x = 0 25 + -4x = 6 + 0 25 + -4x = 6 Add '-25' to each side of the equation. 25 + -25 + -4x = 6 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 6 + -25 -4x = 6 + -25 Combine like terms: 6 + -25 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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