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Simplifying 9(x + -15) + -12(2x + -10) = 414 Reorder the terms: 9(-15 + x) + -12(2x + -10) = 414 (-15 * 9 + x * 9) + -12(2x + -10) = 414 (-135 + 9x) + -12(2x + -10) = 414 Reorder the terms: -135 + 9x + -12(-10 + 2x) = 414 -135 + 9x + (-10 * -12 + 2x * -12) = 414 -135 + 9x + (120 + -24x) = 414 Reorder the terms: -135 + 120 + 9x + -24x = 414 Combine like terms: -135 + 120 = -15 -15 + 9x + -24x = 414 Combine like terms: 9x + -24x = -15x -15 + -15x = 414 Solving -15 + -15x = 414 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -15x = 414 + 15 Combine like terms: -15 + 15 = 0 0 + -15x = 414 + 15 -15x = 414 + 15 Combine like terms: 414 + 15 = 429 -15x = 429 Divide each side by '-15'. x = -28.6 Simplifying x = -28.6
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