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Simplifying 2(x + -4) + 7 = x + 10 Reorder the terms: 2(-4 + x) + 7 = x + 10 (-4 * 2 + x * 2) + 7 = x + 10 (-8 + 2x) + 7 = x + 10 Reorder the terms: -8 + 7 + 2x = x + 10 Combine like terms: -8 + 7 = -1 -1 + 2x = x + 10 Reorder the terms: -1 + 2x = 10 + x Solving -1 + 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. -1 + 2x + -1x = 10 + x + -1x Combine like terms: 2x + -1x = 1x -1 + 1x = 10 + x + -1x Combine like terms: x + -1x = 0 -1 + 1x = 10 + 0 -1 + 1x = 10 Add '1' to each side of the equation. -1 + 1 + 1x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 10 + 1 1x = 10 + 1 Combine like terms: 10 + 1 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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