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Simplifying -9(4x + -8) + -6(-2x + -7) = -78 Reorder the terms: -9(-8 + 4x) + -6(-2x + -7) = -78 (-8 * -9 + 4x * -9) + -6(-2x + -7) = -78 (72 + -36x) + -6(-2x + -7) = -78 Reorder the terms: 72 + -36x + -6(-7 + -2x) = -78 72 + -36x + (-7 * -6 + -2x * -6) = -78 72 + -36x + (42 + 12x) = -78 Reorder the terms: 72 + 42 + -36x + 12x = -78 Combine like terms: 72 + 42 = 114 114 + -36x + 12x = -78 Combine like terms: -36x + 12x = -24x 114 + -24x = -78 Solving 114 + -24x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + -24x = -78 + -114 Combine like terms: 114 + -114 = 0 0 + -24x = -78 + -114 -24x = -78 + -114 Combine like terms: -78 + -114 = -192 -24x = -192 Divide each side by '-24'. x = 8 Simplifying x = 8
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