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Simplifying -2(x + 4) + 4 = 8(x + 2) + 2 Reorder the terms: -2(4 + x) + 4 = 8(x + 2) + 2 (4 * -2 + x * -2) + 4 = 8(x + 2) + 2 (-8 + -2x) + 4 = 8(x + 2) + 2 Reorder the terms: -8 + 4 + -2x = 8(x + 2) + 2 Combine like terms: -8 + 4 = -4 -4 + -2x = 8(x + 2) + 2 Reorder the terms: -4 + -2x = 8(2 + x) + 2 -4 + -2x = (2 * 8 + x * 8) + 2 -4 + -2x = (16 + 8x) + 2 Reorder the terms: -4 + -2x = 16 + 2 + 8x Combine like terms: 16 + 2 = 18 -4 + -2x = 18 + 8x Solving -4 + -2x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + -2x + -8x = 18 + 8x + -8x Combine like terms: -2x + -8x = -10x -4 + -10x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -10x = 18 + 0 -4 + -10x = 18 Add '4' to each side of the equation. -4 + 4 + -10x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 18 + 4 -10x = 18 + 4 Combine like terms: 18 + 4 = 22 -10x = 22 Divide each side by '-10'. x = -2.2 Simplifying x = -2.2
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