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