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Simplifying -4(x + 3) = 7x + 4 + -3x Reorder the terms: -4(3 + x) = 7x + 4 + -3x (3 * -4 + x * -4) = 7x + 4 + -3x (-12 + -4x) = 7x + 4 + -3x Reorder the terms: -12 + -4x = 4 + 7x + -3x Combine like terms: 7x + -3x = 4x -12 + -4x = 4 + 4x Solving -12 + -4x = 4 + 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 + -4x + -4x = 4 + 4x + -4x Combine like terms: -4x + -4x = -8x -12 + -8x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -8x = 4 + 0 -12 + -8x = 4 Add '12' to each side of the equation. -12 + 12 + -8x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 4 + 12 -8x = 4 + 12 Combine like terms: 4 + 12 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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