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Simplifying 3(x + -2) + 4(x + 1) = 2(2x + -4) Reorder the terms: 3(-2 + x) + 4(x + 1) = 2(2x + -4) (-2 * 3 + x * 3) + 4(x + 1) = 2(2x + -4) (-6 + 3x) + 4(x + 1) = 2(2x + -4) Reorder the terms: -6 + 3x + 4(1 + x) = 2(2x + -4) -6 + 3x + (1 * 4 + x * 4) = 2(2x + -4) -6 + 3x + (4 + 4x) = 2(2x + -4) Reorder the terms: -6 + 4 + 3x + 4x = 2(2x + -4) Combine like terms: -6 + 4 = -2 -2 + 3x + 4x = 2(2x + -4) Combine like terms: 3x + 4x = 7x -2 + 7x = 2(2x + -4) Reorder the terms: -2 + 7x = 2(-4 + 2x) -2 + 7x = (-4 * 2 + 2x * 2) -2 + 7x = (-8 + 4x) Solving -2 + 7x = -8 + 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. -2 + 7x + -4x = -8 + 4x + -4x Combine like terms: 7x + -4x = 3x -2 + 3x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 3x = -8 + 0 -2 + 3x = -8 Add '2' to each side of the equation. -2 + 2 + 3x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -8 + 2 3x = -8 + 2 Combine like terms: -8 + 2 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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