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Simplifying 2(x + -3) + 3 = 2x + -3(3 + -1x) Reorder the terms: 2(-3 + x) + 3 = 2x + -3(3 + -1x) (-3 * 2 + x * 2) + 3 = 2x + -3(3 + -1x) (-6 + 2x) + 3 = 2x + -3(3 + -1x) Reorder the terms: -6 + 3 + 2x = 2x + -3(3 + -1x) Combine like terms: -6 + 3 = -3 -3 + 2x = 2x + -3(3 + -1x) -3 + 2x = 2x + (3 * -3 + -1x * -3) -3 + 2x = 2x + (-9 + 3x) Reorder the terms: -3 + 2x = -9 + 2x + 3x Combine like terms: 2x + 3x = 5x -3 + 2x = -9 + 5x Solving -3 + 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. -3 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x -3 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -3x = -9 + 0 -3 + -3x = -9 Add '3' to each side of the equation. -3 + 3 + -3x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -9 + 3 -3x = -9 + 3 Combine like terms: -9 + 3 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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