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