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Simplifying 15(14x + 9) = -8(x + -3) Reorder the terms: 15(9 + 14x) = -8(x + -3) (9 * 15 + 14x * 15) = -8(x + -3) (135 + 210x) = -8(x + -3) Reorder the terms: 135 + 210x = -8(-3 + x) 135 + 210x = (-3 * -8 + x * -8) 135 + 210x = (24 + -8x) Solving 135 + 210x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 135 + 210x + 8x = 24 + -8x + 8x Combine like terms: 210x + 8x = 218x 135 + 218x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 135 + 218x = 24 + 0 135 + 218x = 24 Add '-135' to each side of the equation. 135 + -135 + 218x = 24 + -135 Combine like terms: 135 + -135 = 0 0 + 218x = 24 + -135 218x = 24 + -135 Combine like terms: 24 + -135 = -111 218x = -111 Divide each side by '218'. x = -0.5091743119 Simplifying x = -0.5091743119
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