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Simplifying -2x + 3x = -4(1 + -7x) + -2(x + -2) Combine like terms: -2x + 3x = 1x 1x = -4(1 + -7x) + -2(x + -2) 1x = (1 * -4 + -7x * -4) + -2(x + -2) 1x = (-4 + 28x) + -2(x + -2) Reorder the terms: 1x = -4 + 28x + -2(-2 + x) 1x = -4 + 28x + (-2 * -2 + x * -2) 1x = -4 + 28x + (4 + -2x) Reorder the terms: 1x = -4 + 4 + 28x + -2x Combine like terms: -4 + 4 = 0 1x = 0 + 28x + -2x 1x = 28x + -2x Combine like terms: 28x + -2x = 26x 1x = 26x Solving 1x = 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 1x + -26x = 26x + -26x Combine like terms: 1x + -26x = -25x -25x = 26x + -26x Combine like terms: 26x + -26x = 0 -25x = 0 Divide each side by '-25'. x = 0 Simplifying x = 0
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