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Simplifying -5(3x + -13) = 2(x + -24) + -57 Reorder the terms: -5(-13 + 3x) = 2(x + -24) + -57 (-13 * -5 + 3x * -5) = 2(x + -24) + -57 (65 + -15x) = 2(x + -24) + -57 Reorder the terms: 65 + -15x = 2(-24 + x) + -57 65 + -15x = (-24 * 2 + x * 2) + -57 65 + -15x = (-48 + 2x) + -57 Reorder the terms: 65 + -15x = -48 + -57 + 2x Combine like terms: -48 + -57 = -105 65 + -15x = -105 + 2x Solving 65 + -15x = -105 + 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. 65 + -15x + -2x = -105 + 2x + -2x Combine like terms: -15x + -2x = -17x 65 + -17x = -105 + 2x + -2x Combine like terms: 2x + -2x = 0 65 + -17x = -105 + 0 65 + -17x = -105 Add '-65' to each side of the equation. 65 + -65 + -17x = -105 + -65 Combine like terms: 65 + -65 = 0 0 + -17x = -105 + -65 -17x = -105 + -65 Combine like terms: -105 + -65 = -170 -17x = -170 Divide each side by '-17'. x = 10 Simplifying x = 10
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