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