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Simplifying -1(x + 4) + 7x + -4 = 2(x + 2) Reorder the terms: -1(4 + x) + 7x + -4 = 2(x + 2) (4 * -1 + x * -1) + 7x + -4 = 2(x + 2) (-4 + -1x) + 7x + -4 = 2(x + 2) Reorder the terms: -4 + -4 + -1x + 7x = 2(x + 2) Combine like terms: -4 + -4 = -8 -8 + -1x + 7x = 2(x + 2) Combine like terms: -1x + 7x = 6x -8 + 6x = 2(x + 2) Reorder the terms: -8 + 6x = 2(2 + x) -8 + 6x = (2 * 2 + x * 2) -8 + 6x = (4 + 2x) Solving -8 + 6x = 4 + 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. -8 + 6x + -2x = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x -8 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 4x = 4 + 0 -8 + 4x = 4 Add '8' to each side of the equation. -8 + 8 + 4x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 4 + 8 4x = 4 + 8 Combine like terms: 4 + 8 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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