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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 = -36 -24x = -36 Divide each side by '-24'. x = 1.5 Simplifying x = 1.5
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