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Simplifying 5x + -3(6x + -5) = (-76) Reorder the terms: 5x + -3(-5 + 6x) = (-76) 5x + (-5 * -3 + 6x * -3) = (-76) 5x + (15 + -18x) = (-76) Reorder the terms: 15 + 5x + -18x = (-76) Combine like terms: 5x + -18x = -13x 15 + -13x = (-76) 15 + -13x = -76 Solving 15 + -13x = -76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -13x = -76 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = -76 + -15 -13x = -76 + -15 Combine like terms: -76 + -15 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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