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Simplifying -5(3x + -5) = 2(x + -31) + -83 Reorder the terms: -5(-5 + 3x) = 2(x + -31) + -83 (-5 * -5 + 3x * -5) = 2(x + -31) + -83 (25 + -15x) = 2(x + -31) + -83 Reorder the terms: 25 + -15x = 2(-31 + x) + -83 25 + -15x = (-31 * 2 + x * 2) + -83 25 + -15x = (-62 + 2x) + -83 Reorder the terms: 25 + -15x = -62 + -83 + 2x Combine like terms: -62 + -83 = -145 25 + -15x = -145 + 2x Solving 25 + -15x = -145 + 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. 25 + -15x + -2x = -145 + 2x + -2x Combine like terms: -15x + -2x = -17x 25 + -17x = -145 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -17x = -145 + 0 25 + -17x = -145 Add '-25' to each side of the equation. 25 + -25 + -17x = -145 + -25 Combine like terms: 25 + -25 = 0 0 + -17x = -145 + -25 -17x = -145 + -25 Combine like terms: -145 + -25 = -170 -17x = -170 Divide each side by '-17'. x = 10 Simplifying x = 10
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