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Simplifying 6 + -5(3x + -5) = 2x + -3 Reorder the terms: 6 + -5(-5 + 3x) = 2x + -3 6 + (-5 * -5 + 3x * -5) = 2x + -3 6 + (25 + -15x) = 2x + -3 Combine like terms: 6 + 25 = 31 31 + -15x = 2x + -3 Reorder the terms: 31 + -15x = -3 + 2x Solving 31 + -15x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 31 + -15x + -2x = -3 + 2x + -2x Combine like terms: -15x + -2x = -17x 31 + -17x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -17x = -3 + 0 31 + -17x = -3 Add '-31' to each side of the equation. 31 + -31 + -17x = -3 + -31 Combine like terms: 31 + -31 = 0 0 + -17x = -3 + -31 -17x = -3 + -31 Combine like terms: -3 + -31 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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