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Simplifying 4(x + -2) + 6 = 2(x + 4) Reorder the terms: 4(-2 + x) + 6 = 2(x + 4) (-2 * 4 + x * 4) + 6 = 2(x + 4) (-8 + 4x) + 6 = 2(x + 4) Reorder the terms: -8 + 6 + 4x = 2(x + 4) Combine like terms: -8 + 6 = -2 -2 + 4x = 2(x + 4) Reorder the terms: -2 + 4x = 2(4 + x) -2 + 4x = (4 * 2 + x * 2) -2 + 4x = (8 + 2x) Solving -2 + 4x = 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. -2 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = 8 + 0 -2 + 2x = 8 Add '2' to each side of the equation. -2 + 2 + 2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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