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Simplifying -2(4x + -1) = -5x + 3 + -2x Reorder the terms: -2(-1 + 4x) = -5x + 3 + -2x (-1 * -2 + 4x * -2) = -5x + 3 + -2x (2 + -8x) = -5x + 3 + -2x Reorder the terms: 2 + -8x = 3 + -5x + -2x Combine like terms: -5x + -2x = -7x 2 + -8x = 3 + -7x Solving 2 + -8x = 3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2 + -8x + 7x = 3 + -7x + 7x Combine like terms: -8x + 7x = -1x 2 + -1x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + -1x = 3 + 0 2 + -1x = 3 Add '-2' to each side of the equation. 2 + -2 + -1x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 3 + -2 -1x = 3 + -2 Combine like terms: 3 + -2 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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