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Simplifying 4(6x + -9) + 5(7 + x) = 86 Reorder the terms: 4(-9 + 6x) + 5(7 + x) = 86 (-9 * 4 + 6x * 4) + 5(7 + x) = 86 (-36 + 24x) + 5(7 + x) = 86 -36 + 24x + (7 * 5 + x * 5) = 86 -36 + 24x + (35 + 5x) = 86 Reorder the terms: -36 + 35 + 24x + 5x = 86 Combine like terms: -36 + 35 = -1 -1 + 24x + 5x = 86 Combine like terms: 24x + 5x = 29x -1 + 29x = 86 Solving -1 + 29x = 86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 29x = 86 + 1 Combine like terms: -1 + 1 = 0 0 + 29x = 86 + 1 29x = 86 + 1 Combine like terms: 86 + 1 = 87 29x = 87 Divide each side by '29'. x = 3 Simplifying x = 3
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