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Simplifying 2(x + -3) = 2x + 3(x + -4) Reorder the terms: 2(-3 + x) = 2x + 3(x + -4) (-3 * 2 + x * 2) = 2x + 3(x + -4) (-6 + 2x) = 2x + 3(x + -4) Reorder the terms: -6 + 2x = 2x + 3(-4 + x) -6 + 2x = 2x + (-4 * 3 + x * 3) -6 + 2x = 2x + (-12 + 3x) Reorder the terms: -6 + 2x = -12 + 2x + 3x Combine like terms: 2x + 3x = 5x -6 + 2x = -12 + 5x Solving -6 + 2x = -12 + 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 = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x -6 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -3x = -12 + 0 -6 + -3x = -12 Add '6' to each side of the equation. -6 + 6 + -3x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -12 + 6 -3x = -12 + 6 Combine like terms: -12 + 6 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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