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Simplifying 3(x + -4) + 4x = 2(x + 4) Reorder the terms: 3(-4 + x) + 4x = 2(x + 4) (-4 * 3 + x * 3) + 4x = 2(x + 4) (-12 + 3x) + 4x = 2(x + 4) Combine like terms: 3x + 4x = 7x -12 + 7x = 2(x + 4) Reorder the terms: -12 + 7x = 2(4 + x) -12 + 7x = (4 * 2 + x * 2) -12 + 7x = (8 + 2x) Solving -12 + 7x = 8 + 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. -12 + 7x + -2x = 8 + 2x + -2x Combine like terms: 7x + -2x = 5x -12 + 5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 5x = 8 + 0 -12 + 5x = 8 Add '12' to each side of the equation. -12 + 12 + 5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 8 + 12 5x = 8 + 12 Combine like terms: 8 + 12 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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