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Simplifying 2x + -5 = 8 + 9(x + -5) Reorder the terms: -5 + 2x = 8 + 9(x + -5) Reorder the terms: -5 + 2x = 8 + 9(-5 + x) -5 + 2x = 8 + (-5 * 9 + x * 9) -5 + 2x = 8 + (-45 + 9x) Combine like terms: 8 + -45 = -37 -5 + 2x = -37 + 9x Solving -5 + 2x = -37 + 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. -5 + 2x + -9x = -37 + 9x + -9x Combine like terms: 2x + -9x = -7x -5 + -7x = -37 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -7x = -37 + 0 -5 + -7x = -37 Add '5' to each side of the equation. -5 + 5 + -7x = -37 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -37 + 5 -7x = -37 + 5 Combine like terms: -37 + 5 = -32 -7x = -32 Divide each side by '-7'. x = 4.571428571 Simplifying x = 4.571428571
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