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Simplifying 4(2 + -6x) + 5(3x + 5) = -39 (2 * 4 + -6x * 4) + 5(3x + 5) = -39 (8 + -24x) + 5(3x + 5) = -39 Reorder the terms: 8 + -24x + 5(5 + 3x) = -39 8 + -24x + (5 * 5 + 3x * 5) = -39 8 + -24x + (25 + 15x) = -39 Reorder the terms: 8 + 25 + -24x + 15x = -39 Combine like terms: 8 + 25 = 33 33 + -24x + 15x = -39 Combine like terms: -24x + 15x = -9x 33 + -9x = -39 Solving 33 + -9x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -9x = -39 + -33 Combine like terms: 33 + -33 = 0 0 + -9x = -39 + -33 -9x = -39 + -33 Combine like terms: -39 + -33 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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