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Simplifying 2(x + -5) = -9 + -1(1 + -3x) Reorder the terms: 2(-5 + x) = -9 + -1(1 + -3x) (-5 * 2 + x * 2) = -9 + -1(1 + -3x) (-10 + 2x) = -9 + -1(1 + -3x) -10 + 2x = -9 + (1 * -1 + -3x * -1) -10 + 2x = -9 + (-1 + 3x) Combine like terms: -9 + -1 = -10 -10 + 2x = -10 + 3x Add '10' to each side of the equation. -10 + 10 + 2x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + 2x = -10 + 10 + 3x 2x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 2x = 0 + 3x 2x = 3x Solving 2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x = 3x + -3x Combine like terms: 2x + -3x = -1x -1x = 3x + -3x Combine like terms: 3x + -3x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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