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Simplifying -4(5 + -1x) + -1x = 15 + -2x (5 * -4 + -1x * -4) + -1x = 15 + -2x (-20 + 4x) + -1x = 15 + -2x Combine like terms: 4x + -1x = 3x -20 + 3x = 15 + -2x Solving -20 + 3x = 15 + -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 + 3x + 2x = 15 + -2x + 2x Combine like terms: 3x + 2x = 5x -20 + 5x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 5x = 15 + 0 -20 + 5x = 15 Add '20' to each side of the equation. -20 + 20 + 5x = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 15 + 20 5x = 15 + 20 Combine like terms: 15 + 20 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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