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Simplifying -4(2x + 1) = 2(-3x + 3) Reorder the terms: -4(1 + 2x) = 2(-3x + 3) (1 * -4 + 2x * -4) = 2(-3x + 3) (-4 + -8x) = 2(-3x + 3) Reorder the terms: -4 + -8x = 2(3 + -3x) -4 + -8x = (3 * 2 + -3x * 2) -4 + -8x = (6 + -6x) Solving -4 + -8x = 6 + -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. -4 + -8x + 6x = 6 + -6x + 6x Combine like terms: -8x + 6x = -2x -4 + -2x = 6 + -6x + 6x Combine like terms: -6x + 6x = 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 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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