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Simplifying 4x + 9 = 8 + -1(6x + -5) Reorder the terms: 9 + 4x = 8 + -1(6x + -5) Reorder the terms: 9 + 4x = 8 + -1(-5 + 6x) 9 + 4x = 8 + (-5 * -1 + 6x * -1) 9 + 4x = 8 + (5 + -6x) Combine like terms: 8 + 5 = 13 9 + 4x = 13 + -6x Solving 9 + 4x = 13 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 4x + 6x = 13 + -6x + 6x Combine like terms: 4x + 6x = 10x 9 + 10x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 10x = 13 + 0 9 + 10x = 13 Add '-9' to each side of the equation. 9 + -9 + 10x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 13 + -9 10x = 13 + -9 Combine like terms: 13 + -9 = 4 10x = 4 Divide each side by '10'. x = 0.4 Simplifying x = 0.4
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