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