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