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Simplifying (3x + 9) + -2x = 15x + -3(x + -5) Reorder the terms: (9 + 3x) + -2x = 15x + -3(x + -5) Remove parenthesis around (9 + 3x) 9 + 3x + -2x = 15x + -3(x + -5) Combine like terms: 3x + -2x = 1x 9 + 1x = 15x + -3(x + -5) Reorder the terms: 9 + 1x = 15x + -3(-5 + x) 9 + 1x = 15x + (-5 * -3 + x * -3) 9 + 1x = 15x + (15 + -3x) Reorder the terms: 9 + 1x = 15 + 15x + -3x Combine like terms: 15x + -3x = 12x 9 + 1x = 15 + 12x Solving 9 + 1x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 1x + -12x = 15 + 12x + -12x Combine like terms: 1x + -12x = -11x 9 + -11x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -11x = 15 + 0 9 + -11x = 15 Add '-9' to each side of the equation. 9 + -9 + -11x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = 15 + -9 -11x = 15 + -9 Combine like terms: 15 + -9 = 6 -11x = 6 Divide each side by '-11'. x = -0.5454545455 Simplifying x = -0.5454545455
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