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Simplifying 5(9 + -1x) + -12 = 4(x + 15) (9 * 5 + -1x * 5) + -12 = 4(x + 15) (45 + -5x) + -12 = 4(x + 15) Reorder the terms: 45 + -12 + -5x = 4(x + 15) Combine like terms: 45 + -12 = 33 33 + -5x = 4(x + 15) Reorder the terms: 33 + -5x = 4(15 + x) 33 + -5x = (15 * 4 + x * 4) 33 + -5x = (60 + 4x) Solving 33 + -5x = 60 + 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. 33 + -5x + -4x = 60 + 4x + -4x Combine like terms: -5x + -4x = -9x 33 + -9x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 33 + -9x = 60 + 0 33 + -9x = 60 Add '-33' to each side of the equation. 33 + -33 + -9x = 60 + -33 Combine like terms: 33 + -33 = 0 0 + -9x = 60 + -33 -9x = 60 + -33 Combine like terms: 60 + -33 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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