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Simplifying 3(x + -4) = 2(x + 3) + 3x Reorder the terms: 3(-4 + x) = 2(x + 3) + 3x (-4 * 3 + x * 3) = 2(x + 3) + 3x (-12 + 3x) = 2(x + 3) + 3x Reorder the terms: -12 + 3x = 2(3 + x) + 3x -12 + 3x = (3 * 2 + x * 2) + 3x -12 + 3x = (6 + 2x) + 3x Combine like terms: 2x + 3x = 5x -12 + 3x = 6 + 5x Solving -12 + 3x = 6 + 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. -12 + 3x + -5x = 6 + 5x + -5x Combine like terms: 3x + -5x = -2x -12 + -2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -2x = 6 + 0 -12 + -2x = 6 Add '12' to each side of the equation. -12 + 12 + -2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 6 + 12 -2x = 6 + 12 Combine like terms: 6 + 12 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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