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Simplifying 3(x + -4) = 2(-2x + 1) Reorder the terms: 3(-4 + x) = 2(-2x + 1) (-4 * 3 + x * 3) = 2(-2x + 1) (-12 + 3x) = 2(-2x + 1) Reorder the terms: -12 + 3x = 2(1 + -2x) -12 + 3x = (1 * 2 + -2x * 2) -12 + 3x = (2 + -4x) Solving -12 + 3x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 3x + 4x = 2 + -4x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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