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Simplifying 2(x + -3) + -1(x + -2) = 2x + 3 Reorder the terms: 2(-3 + x) + -1(x + -2) = 2x + 3 (-3 * 2 + x * 2) + -1(x + -2) = 2x + 3 (-6 + 2x) + -1(x + -2) = 2x + 3 Reorder the terms: -6 + 2x + -1(-2 + x) = 2x + 3 -6 + 2x + (-2 * -1 + x * -1) = 2x + 3 -6 + 2x + (2 + -1x) = 2x + 3 Reorder the terms: -6 + 2 + 2x + -1x = 2x + 3 Combine like terms: -6 + 2 = -4 -4 + 2x + -1x = 2x + 3 Combine like terms: 2x + -1x = 1x -4 + 1x = 2x + 3 Reorder the terms: -4 + 1x = 3 + 2x Solving -4 + 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. -4 + 1x + -2x = 3 + 2x + -2x Combine like terms: 1x + -2x = -1x -4 + -1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -1x = 3 + 0 -4 + -1x = 3 Add '4' to each side of the equation. -4 + 4 + -1x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 3 + 4 -1x = 3 + 4 Combine like terms: 3 + 4 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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