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Simplifying 5(3x + 9) + -2 = 15x + -2(3x + -5) Reorder the terms: 5(9 + 3x) + -2 = 15x + -2(3x + -5) (9 * 5 + 3x * 5) + -2 = 15x + -2(3x + -5) (45 + 15x) + -2 = 15x + -2(3x + -5) Reorder the terms: 45 + -2 + 15x = 15x + -2(3x + -5) Combine like terms: 45 + -2 = 43 43 + 15x = 15x + -2(3x + -5) Reorder the terms: 43 + 15x = 15x + -2(-5 + 3x) 43 + 15x = 15x + (-5 * -2 + 3x * -2) 43 + 15x = 15x + (10 + -6x) Reorder the terms: 43 + 15x = 10 + 15x + -6x Combine like terms: 15x + -6x = 9x 43 + 15x = 10 + 9x Solving 43 + 15x = 10 + 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. 43 + 15x + -9x = 10 + 9x + -9x Combine like terms: 15x + -9x = 6x 43 + 6x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 43 + 6x = 10 + 0 43 + 6x = 10 Add '-43' to each side of the equation. 43 + -43 + 6x = 10 + -43 Combine like terms: 43 + -43 = 0 0 + 6x = 10 + -43 6x = 10 + -43 Combine like terms: 10 + -43 = -33 6x = -33 Divide each side by '6'. x = -5.5 Simplifying x = -5.5
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