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Simplifying 4(x + -1) = 2(3x + -2) Reorder the terms: 4(-1 + x) = 2(3x + -2) (-1 * 4 + x * 4) = 2(3x + -2) (-4 + 4x) = 2(3x + -2) Reorder the terms: -4 + 4x = 2(-2 + 3x) -4 + 4x = (-2 * 2 + 3x * 2) -4 + 4x = (-4 + 6x) Add '4' to each side of the equation. -4 + 4 + 4x = -4 + 4 + 6x Combine like terms: -4 + 4 = 0 0 + 4x = -4 + 4 + 6x 4x = -4 + 4 + 6x Combine like terms: -4 + 4 = 0 4x = 0 + 6x 4x = 6x Solving 4x = 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. 4x + -6x = 6x + -6x Combine like terms: 4x + -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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