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Simplifying 4(5 + x) = 4(3x + -1) + -32 (5 * 4 + x * 4) = 4(3x + -1) + -32 (20 + 4x) = 4(3x + -1) + -32 Reorder the terms: 20 + 4x = 4(-1 + 3x) + -32 20 + 4x = (-1 * 4 + 3x * 4) + -32 20 + 4x = (-4 + 12x) + -32 Reorder the terms: 20 + 4x = -4 + -32 + 12x Combine like terms: -4 + -32 = -36 20 + 4x = -36 + 12x Solving 20 + 4x = -36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 4x + -12x = -36 + 12x + -12x Combine like terms: 4x + -12x = -8x 20 + -8x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -8x = -36 + 0 20 + -8x = -36 Add '-20' to each side of the equation. 20 + -20 + -8x = -36 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -36 + -20 -8x = -36 + -20 Combine like terms: -36 + -20 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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