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Simplifying (3x + -4) * 4 = 4(x + 4) Reorder the terms: (-4 + 3x) * 4 = 4(x + 4) Reorder the terms for easier multiplication: 4(-4 + 3x) = 4(x + 4) (-4 * 4 + 3x * 4) = 4(x + 4) (-16 + 12x) = 4(x + 4) Reorder the terms: -16 + 12x = 4(4 + x) -16 + 12x = (4 * 4 + x * 4) -16 + 12x = (16 + 4x) Solving -16 + 12x = 16 + 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. -16 + 12x + -4x = 16 + 4x + -4x Combine like terms: 12x + -4x = 8x -16 + 8x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 8x = 16 + 0 -16 + 8x = 16 Add '16' to each side of the equation. -16 + 16 + 8x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 16 + 16 8x = 16 + 16 Combine like terms: 16 + 16 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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