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Simplifying -5(x + -3) + 7x = 9x + -8 Reorder the terms: -5(-3 + x) + 7x = 9x + -8 (-3 * -5 + x * -5) + 7x = 9x + -8 (15 + -5x) + 7x = 9x + -8 Combine like terms: -5x + 7x = 2x 15 + 2x = 9x + -8 Reorder the terms: 15 + 2x = -8 + 9x Solving 15 + 2x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 2x + -9x = -8 + 9x + -9x Combine like terms: 2x + -9x = -7x 15 + -7x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -7x = -8 + 0 15 + -7x = -8 Add '-15' to each side of the equation. 15 + -15 + -7x = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -8 + -15 -7x = -8 + -15 Combine like terms: -8 + -15 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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