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