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Simplifying -3(x + 5) + -3x = 5 + -1(2 + x) + 7 Reorder the terms: -3(5 + x) + -3x = 5 + -1(2 + x) + 7 (5 * -3 + x * -3) + -3x = 5 + -1(2 + x) + 7 (-15 + -3x) + -3x = 5 + -1(2 + x) + 7 Combine like terms: -3x + -3x = -6x -15 + -6x = 5 + -1(2 + x) + 7 -15 + -6x = 5 + (2 * -1 + x * -1) + 7 -15 + -6x = 5 + (-2 + -1x) + 7 Reorder the terms: -15 + -6x = 5 + -2 + 7 + -1x Combine like terms: 5 + -2 = 3 -15 + -6x = 3 + 7 + -1x Combine like terms: 3 + 7 = 10 -15 + -6x = 10 + -1x Solving -15 + -6x = 10 + -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 + -6x + x = 10 + -1x + x Combine like terms: -6x + x = -5x -15 + -5x = 10 + -1x + x Combine like terms: -1x + x = 0 -15 + -5x = 10 + 0 -15 + -5x = 10 Add '15' to each side of the equation. -15 + 15 + -5x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 10 + 15 -5x = 10 + 15 Combine like terms: 10 + 15 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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