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Simplifying 4(2x + 5) = 3x + -12 + x Reorder the terms: 4(5 + 2x) = 3x + -12 + x (5 * 4 + 2x * 4) = 3x + -12 + x (20 + 8x) = 3x + -12 + x Reorder the terms: 20 + 8x = -12 + 3x + x Combine like terms: 3x + x = 4x 20 + 8x = -12 + 4x Solving 20 + 8x = -12 + 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. 20 + 8x + -4x = -12 + 4x + -4x Combine like terms: 8x + -4x = 4x 20 + 4x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 4x = -12 + 0 20 + 4x = -12 Add '-20' to each side of the equation. 20 + -20 + 4x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -12 + -20 4x = -12 + -20 Combine like terms: -12 + -20 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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