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Simplifying 2(5x + -8) + 2 = 2(x + -5) Reorder the terms: 2(-8 + 5x) + 2 = 2(x + -5) (-8 * 2 + 5x * 2) + 2 = 2(x + -5) (-16 + 10x) + 2 = 2(x + -5) Reorder the terms: -16 + 2 + 10x = 2(x + -5) Combine like terms: -16 + 2 = -14 -14 + 10x = 2(x + -5) Reorder the terms: -14 + 10x = 2(-5 + x) -14 + 10x = (-5 * 2 + x * 2) -14 + 10x = (-10 + 2x) Solving -14 + 10x = -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. -14 + 10x + -2x = -10 + 2x + -2x Combine like terms: 10x + -2x = 8x -14 + 8x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 8x = -10 + 0 -14 + 8x = -10 Add '14' to each side of the equation. -14 + 14 + 8x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = -10 + 14 8x = -10 + 14 Combine like terms: -10 + 14 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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