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Simplifying 2(x + -3) + -1(x + -1) = 2x + 3 Reorder the terms: 2(-3 + x) + -1(x + -1) = 2x + 3 (-3 * 2 + x * 2) + -1(x + -1) = 2x + 3 (-6 + 2x) + -1(x + -1) = 2x + 3 Reorder the terms: -6 + 2x + -1(-1 + x) = 2x + 3 -6 + 2x + (-1 * -1 + x * -1) = 2x + 3 -6 + 2x + (1 + -1x) = 2x + 3 Reorder the terms: -6 + 1 + 2x + -1x = 2x + 3 Combine like terms: -6 + 1 = -5 -5 + 2x + -1x = 2x + 3 Combine like terms: 2x + -1x = 1x -5 + 1x = 2x + 3 Reorder the terms: -5 + 1x = 3 + 2x Solving -5 + 1x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 1x + -2x = 3 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = 3 + 0 -5 + -1x = 3 Add '5' to each side of the equation. -5 + 5 + -1x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 3 + 5 -1x = 3 + 5 Combine like terms: 3 + 5 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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