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Simplifying 3(x + 7) + 7(x + -5) = x + -5 Reorder the terms: 3(7 + x) + 7(x + -5) = x + -5 (7 * 3 + x * 3) + 7(x + -5) = x + -5 (21 + 3x) + 7(x + -5) = x + -5 Reorder the terms: 21 + 3x + 7(-5 + x) = x + -5 21 + 3x + (-5 * 7 + x * 7) = x + -5 21 + 3x + (-35 + 7x) = x + -5 Reorder the terms: 21 + -35 + 3x + 7x = x + -5 Combine like terms: 21 + -35 = -14 -14 + 3x + 7x = x + -5 Combine like terms: 3x + 7x = 10x -14 + 10x = x + -5 Reorder the terms: -14 + 10x = -5 + x Solving -14 + 10x = -5 + 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. -14 + 10x + -1x = -5 + x + -1x Combine like terms: 10x + -1x = 9x -14 + 9x = -5 + x + -1x Combine like terms: x + -1x = 0 -14 + 9x = -5 + 0 -14 + 9x = -5 Add '14' to each side of the equation. -14 + 14 + 9x = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = -5 + 14 9x = -5 + 14 Combine like terms: -5 + 14 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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