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Simplifying 10(x + -2) + 2 = 6 + 2x Reorder the terms: 10(-2 + x) + 2 = 6 + 2x (-2 * 10 + x * 10) + 2 = 6 + 2x (-20 + 10x) + 2 = 6 + 2x Reorder the terms: -20 + 2 + 10x = 6 + 2x Combine like terms: -20 + 2 = -18 -18 + 10x = 6 + 2x Solving -18 + 10x = 6 + 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. -18 + 10x + -2x = 6 + 2x + -2x Combine like terms: 10x + -2x = 8x -18 + 8x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 8x = 6 + 0 -18 + 8x = 6 Add '18' to each side of the equation. -18 + 18 + 8x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 6 + 18 8x = 6 + 18 Combine like terms: 6 + 18 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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