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Simplifying 2(x + -4) + 6 = x + 10 Reorder the terms: 2(-4 + x) + 6 = x + 10 (-4 * 2 + x * 2) + 6 = x + 10 (-8 + 2x) + 6 = x + 10 Reorder the terms: -8 + 6 + 2x = x + 10 Combine like terms: -8 + 6 = -2 -2 + 2x = x + 10 Reorder the terms: -2 + 2x = 10 + x Solving -2 + 2x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 2x + -1x = 10 + x + -1x Combine like terms: 2x + -1x = 1x -2 + 1x = 10 + x + -1x Combine like terms: x + -1x = 0 -2 + 1x = 10 + 0 -2 + 1x = 10 Add '2' to each side of the equation. -2 + 2 + 1x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 10 + 2 1x = 10 + 2 Combine like terms: 10 + 2 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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