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Simplifying 3(9x + -5) + -7(4x + -3) = 8 Reorder the terms: 3(-5 + 9x) + -7(4x + -3) = 8 (-5 * 3 + 9x * 3) + -7(4x + -3) = 8 (-15 + 27x) + -7(4x + -3) = 8 Reorder the terms: -15 + 27x + -7(-3 + 4x) = 8 -15 + 27x + (-3 * -7 + 4x * -7) = 8 -15 + 27x + (21 + -28x) = 8 Reorder the terms: -15 + 21 + 27x + -28x = 8 Combine like terms: -15 + 21 = 6 6 + 27x + -28x = 8 Combine like terms: 27x + -28x = -1x 6 + -1x = 8 Solving 6 + -1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 8 + -6 -1x = 8 + -6 Combine like terms: 8 + -6 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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