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Simplifying 8 + -2(4x + -2) = 2(x + -5) + 20 Reorder the terms: 8 + -2(-2 + 4x) = 2(x + -5) + 20 8 + (-2 * -2 + 4x * -2) = 2(x + -5) + 20 8 + (4 + -8x) = 2(x + -5) + 20 Combine like terms: 8 + 4 = 12 12 + -8x = 2(x + -5) + 20 Reorder the terms: 12 + -8x = 2(-5 + x) + 20 12 + -8x = (-5 * 2 + x * 2) + 20 12 + -8x = (-10 + 2x) + 20 Reorder the terms: 12 + -8x = -10 + 20 + 2x Combine like terms: -10 + 20 = 10 12 + -8x = 10 + 2x Solving 12 + -8x = 10 + 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. 12 + -8x + -2x = 10 + 2x + -2x Combine like terms: -8x + -2x = -10x 12 + -10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -10x = 10 + 0 12 + -10x = 10 Add '-12' to each side of the equation. 12 + -12 + -10x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 10 + -12 -10x = 10 + -12 Combine like terms: 10 + -12 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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