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Simplifying 4(2x + 5) = 12x + -9 Reorder the terms: 4(5 + 2x) = 12x + -9 (5 * 4 + 2x * 4) = 12x + -9 (20 + 8x) = 12x + -9 Reorder the terms: 20 + 8x = -9 + 12x Solving 20 + 8x = -9 + 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 + 8x + -12x = -9 + 12x + -12x Combine like terms: 8x + -12x = -4x 20 + -4x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -4x = -9 + 0 20 + -4x = -9 Add '-20' to each side of the equation. 20 + -20 + -4x = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -9 + -20 -4x = -9 + -20 Combine like terms: -9 + -20 = -29 -4x = -29 Divide each side by '-4'. x = 7.25 Simplifying x = 7.25
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