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Simplifying 4x + 9 = 5 + -1(8x + -7) Reorder the terms: 9 + 4x = 5 + -1(8x + -7) Reorder the terms: 9 + 4x = 5 + -1(-7 + 8x) 9 + 4x = 5 + (-7 * -1 + 8x * -1) 9 + 4x = 5 + (7 + -8x) Combine like terms: 5 + 7 = 12 9 + 4x = 12 + -8x Solving 9 + 4x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 4x + 8x = 12 + -8x + 8x Combine like terms: 4x + 8x = 12x 9 + 12x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 12x = 12 + 0 9 + 12x = 12 Add '-9' to each side of the equation. 9 + -9 + 12x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 12 + -9 12x = 12 + -9 Combine like terms: 12 + -9 = 3 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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