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Simplifying 3(x + -4) = 3(x + 6) + x Reorder the terms: 3(-4 + x) = 3(x + 6) + x (-4 * 3 + x * 3) = 3(x + 6) + x (-12 + 3x) = 3(x + 6) + x Reorder the terms: -12 + 3x = 3(6 + x) + x -12 + 3x = (6 * 3 + x * 3) + x -12 + 3x = (18 + 3x) + x Combine like terms: 3x + x = 4x -12 + 3x = 18 + 4x Solving -12 + 3x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 3x + -4x = 18 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = 18 + 0 -12 + -1x = 18 Add '12' to each side of the equation. -12 + 12 + -1x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 18 + 12 -1x = 18 + 12 Combine like terms: 18 + 12 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30
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