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Simplifying 9(-3x + 14) + -8(5x + -4) = -378 Reorder the terms: 9(14 + -3x) + -8(5x + -4) = -378 (14 * 9 + -3x * 9) + -8(5x + -4) = -378 (126 + -27x) + -8(5x + -4) = -378 Reorder the terms: 126 + -27x + -8(-4 + 5x) = -378 126 + -27x + (-4 * -8 + 5x * -8) = -378 126 + -27x + (32 + -40x) = -378 Reorder the terms: 126 + 32 + -27x + -40x = -378 Combine like terms: 126 + 32 = 158 158 + -27x + -40x = -378 Combine like terms: -27x + -40x = -67x 158 + -67x = -378 Solving 158 + -67x = -378 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-158' to each side of the equation. 158 + -158 + -67x = -378 + -158 Combine like terms: 158 + -158 = 0 0 + -67x = -378 + -158 -67x = -378 + -158 Combine like terms: -378 + -158 = -536 -67x = -536 Divide each side by '-67'. x = 8 Simplifying x = 8
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