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Simplifying 3(x + -4) = 7x Reorder the terms: 3(-4 + x) = 7x (-4 * 3 + x * 3) = 7x (-12 + 3x) = 7x Solving -12 + 3x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 3x + -7x = 7x + -7x Combine like terms: 3x + -7x = -4x -12 + -4x = 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -4x = 0 Add '12' to each side of the equation. -12 + 12 + -4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 0 + 12 -4x = 0 + 12 Combine like terms: 0 + 12 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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