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