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Simplifying 4x + 6(5x + 8) = 9 + -5x Reorder the terms: 4x + 6(8 + 5x) = 9 + -5x 4x + (8 * 6 + 5x * 6) = 9 + -5x 4x + (48 + 30x) = 9 + -5x Reorder the terms: 48 + 4x + 30x = 9 + -5x Combine like terms: 4x + 30x = 34x 48 + 34x = 9 + -5x Solving 48 + 34x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 48 + 34x + 5x = 9 + -5x + 5x Combine like terms: 34x + 5x = 39x 48 + 39x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 48 + 39x = 9 + 0 48 + 39x = 9 Add '-48' to each side of the equation. 48 + -48 + 39x = 9 + -48 Combine like terms: 48 + -48 = 0 0 + 39x = 9 + -48 39x = 9 + -48 Combine like terms: 9 + -48 = -39 39x = -39 Divide each side by '39'. x = -1 Simplifying x = -1
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