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Simplifying 2(x + -3) = 1 + -5(2 + -1x) Reorder the terms: 2(-3 + x) = 1 + -5(2 + -1x) (-3 * 2 + x * 2) = 1 + -5(2 + -1x) (-6 + 2x) = 1 + -5(2 + -1x) -6 + 2x = 1 + (2 * -5 + -1x * -5) -6 + 2x = 1 + (-10 + 5x) Combine like terms: 1 + -10 = -9 -6 + 2x = -9 + 5x Solving -6 + 2x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x -6 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -3x = -9 + 0 -6 + -3x = -9 Add '6' to each side of the equation. -6 + 6 + -3x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -9 + 6 -3x = -9 + 6 Combine like terms: -9 + 6 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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