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Simplifying 1 + -2(x + 5) = -1(x + -3) Reorder the terms: 1 + -2(5 + x) = -1(x + -3) 1 + (5 * -2 + x * -2) = -1(x + -3) 1 + (-10 + -2x) = -1(x + -3) Combine like terms: 1 + -10 = -9 -9 + -2x = -1(x + -3) Reorder the terms: -9 + -2x = -1(-3 + x) -9 + -2x = (-3 * -1 + x * -1) -9 + -2x = (3 + -1x) Solving -9 + -2x = 3 + -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. -9 + -2x + x = 3 + -1x + x Combine like terms: -2x + x = -1x -9 + -1x = 3 + -1x + x Combine like terms: -1x + x = 0 -9 + -1x = 3 + 0 -9 + -1x = 3 Add '9' to each side of the equation. -9 + 9 + -1x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 3 + 9 -1x = 3 + 9 Combine like terms: 3 + 9 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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