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Simplifying 5(x + -5) + 7 = x + 6 Reorder the terms: 5(-5 + x) + 7 = x + 6 (-5 * 5 + x * 5) + 7 = x + 6 (-25 + 5x) + 7 = x + 6 Reorder the terms: -25 + 7 + 5x = x + 6 Combine like terms: -25 + 7 = -18 -18 + 5x = x + 6 Reorder the terms: -18 + 5x = 6 + x Solving -18 + 5x = 6 + 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. -18 + 5x + -1x = 6 + x + -1x Combine like terms: 5x + -1x = 4x -18 + 4x = 6 + x + -1x Combine like terms: x + -1x = 0 -18 + 4x = 6 + 0 -18 + 4x = 6 Add '18' to each side of the equation. -18 + 18 + 4x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 6 + 18 4x = 6 + 18 Combine like terms: 6 + 18 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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