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Simplifying 2(5x + -2) + -8 = 2(x + 2) Reorder the terms: 2(-2 + 5x) + -8 = 2(x + 2) (-2 * 2 + 5x * 2) + -8 = 2(x + 2) (-4 + 10x) + -8 = 2(x + 2) Reorder the terms: -4 + -8 + 10x = 2(x + 2) Combine like terms: -4 + -8 = -12 -12 + 10x = 2(x + 2) Reorder the terms: -12 + 10x = 2(2 + x) -12 + 10x = (2 * 2 + x * 2) -12 + 10x = (4 + 2x) Solving -12 + 10x = 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. -12 + 10x + -2x = 4 + 2x + -2x Combine like terms: 10x + -2x = 8x -12 + 8x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 8x = 4 + 0 -12 + 8x = 4 Add '12' to each side of the equation. -12 + 12 + 8x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 4 + 12 8x = 4 + 12 Combine like terms: 4 + 12 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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