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Simplifying 4(3 + x) = 4(4x + -1) + -56 (3 * 4 + x * 4) = 4(4x + -1) + -56 (12 + 4x) = 4(4x + -1) + -56 Reorder the terms: 12 + 4x = 4(-1 + 4x) + -56 12 + 4x = (-1 * 4 + 4x * 4) + -56 12 + 4x = (-4 + 16x) + -56 Reorder the terms: 12 + 4x = -4 + -56 + 16x Combine like terms: -4 + -56 = -60 12 + 4x = -60 + 16x Solving 12 + 4x = -60 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 4x + -16x = -60 + 16x + -16x Combine like terms: 4x + -16x = -12x 12 + -12x = -60 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + -12x = -60 + 0 12 + -12x = -60 Add '-12' to each side of the equation. 12 + -12 + -12x = -60 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -60 + -12 -12x = -60 + -12 Combine like terms: -60 + -12 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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