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Simplifying 4(x + -1) + 2(3x + 4) = 3(2x + 4) Reorder the terms: 4(-1 + x) + 2(3x + 4) = 3(2x + 4) (-1 * 4 + x * 4) + 2(3x + 4) = 3(2x + 4) (-4 + 4x) + 2(3x + 4) = 3(2x + 4) Reorder the terms: -4 + 4x + 2(4 + 3x) = 3(2x + 4) -4 + 4x + (4 * 2 + 3x * 2) = 3(2x + 4) -4 + 4x + (8 + 6x) = 3(2x + 4) Reorder the terms: -4 + 8 + 4x + 6x = 3(2x + 4) Combine like terms: -4 + 8 = 4 4 + 4x + 6x = 3(2x + 4) Combine like terms: 4x + 6x = 10x 4 + 10x = 3(2x + 4) Reorder the terms: 4 + 10x = 3(4 + 2x) 4 + 10x = (4 * 3 + 2x * 3) 4 + 10x = (12 + 6x) Solving 4 + 10x = 12 + 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 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x 4 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 4x = 12 + 0 4 + 4x = 12 Add '-4' to each side of the equation. 4 + -4 + 4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 12 + -4 4x = 12 + -4 Combine like terms: 12 + -4 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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