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Simplifying 15(15x + 21) = -11(x + -3) Reorder the terms: 15(21 + 15x) = -11(x + -3) (21 * 15 + 15x * 15) = -11(x + -3) (315 + 225x) = -11(x + -3) Reorder the terms: 315 + 225x = -11(-3 + x) 315 + 225x = (-3 * -11 + x * -11) 315 + 225x = (33 + -11x) Solving 315 + 225x = 33 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 315 + 225x + 11x = 33 + -11x + 11x Combine like terms: 225x + 11x = 236x 315 + 236x = 33 + -11x + 11x Combine like terms: -11x + 11x = 0 315 + 236x = 33 + 0 315 + 236x = 33 Add '-315' to each side of the equation. 315 + -315 + 236x = 33 + -315 Combine like terms: 315 + -315 = 0 0 + 236x = 33 + -315 236x = 33 + -315 Combine like terms: 33 + -315 = -282 236x = -282 Divide each side by '236'. x = -1.194915254 Simplifying x = -1.194915254
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