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Simplifying 4(2x + -1) = 2(3x + -2) Reorder the terms: 4(-1 + 2x) = 2(3x + -2) (-1 * 4 + 2x * 4) = 2(3x + -2) (-4 + 8x) = 2(3x + -2) Reorder the terms: -4 + 8x = 2(-2 + 3x) -4 + 8x = (-2 * 2 + 3x * 2) -4 + 8x = (-4 + 6x) Add '4' to each side of the equation. -4 + 4 + 8x = -4 + 4 + 6x Combine like terms: -4 + 4 = 0 0 + 8x = -4 + 4 + 6x 8x = -4 + 4 + 6x Combine like terms: -4 + 4 = 0 8x = 0 + 6x 8x = 6x Solving 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 2x = 6x + -6x Combine like terms: 6x + -6x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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