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Simplifying 8 + -9x = 15x + 7 + 45 Reorder the terms: 8 + -9x = 7 + 45 + 15x Combine like terms: 7 + 45 = 52 8 + -9x = 52 + 15x Solving 8 + -9x = 52 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + -9x + -15x = 52 + 15x + -15x Combine like terms: -9x + -15x = -24x 8 + -24x = 52 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -24x = 52 + 0 8 + -24x = 52 Add '-8' to each side of the equation. 8 + -8 + -24x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + -24x = 52 + -8 -24x = 52 + -8 Combine like terms: 52 + -8 = 44 -24x = 44 Divide each side by '-24'. x = -1.833333333 Simplifying x = -1.833333333
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