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Simplifying 3x + -5(x + 3) = 7 + -1(x + 5) Reorder the terms: 3x + -5(3 + x) = 7 + -1(x + 5) 3x + (3 * -5 + x * -5) = 7 + -1(x + 5) 3x + (-15 + -5x) = 7 + -1(x + 5) Reorder the terms: -15 + 3x + -5x = 7 + -1(x + 5) Combine like terms: 3x + -5x = -2x -15 + -2x = 7 + -1(x + 5) Reorder the terms: -15 + -2x = 7 + -1(5 + x) -15 + -2x = 7 + (5 * -1 + x * -1) -15 + -2x = 7 + (-5 + -1x) Combine like terms: 7 + -5 = 2 -15 + -2x = 2 + -1x Solving -15 + -2x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + -2x + x = 2 + -1x + x Combine like terms: -2x + x = -1x -15 + -1x = 2 + -1x + x Combine like terms: -1x + x = 0 -15 + -1x = 2 + 0 -15 + -1x = 2 Add '15' to each side of the equation. -15 + 15 + -1x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 2 + 15 -1x = 2 + 15 Combine like terms: 2 + 15 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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