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Simplifying 2x + -5(7 + -13x) = 4 + 6(12 + -4x) 2x + (7 * -5 + -13x * -5) = 4 + 6(12 + -4x) 2x + (-35 + 65x) = 4 + 6(12 + -4x) Reorder the terms: -35 + 2x + 65x = 4 + 6(12 + -4x) Combine like terms: 2x + 65x = 67x -35 + 67x = 4 + 6(12 + -4x) -35 + 67x = 4 + (12 * 6 + -4x * 6) -35 + 67x = 4 + (72 + -24x) Combine like terms: 4 + 72 = 76 -35 + 67x = 76 + -24x Solving -35 + 67x = 76 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -35 + 67x + 24x = 76 + -24x + 24x Combine like terms: 67x + 24x = 91x -35 + 91x = 76 + -24x + 24x Combine like terms: -24x + 24x = 0 -35 + 91x = 76 + 0 -35 + 91x = 76 Add '35' to each side of the equation. -35 + 35 + 91x = 76 + 35 Combine like terms: -35 + 35 = 0 0 + 91x = 76 + 35 91x = 76 + 35 Combine like terms: 76 + 35 = 111 91x = 111 Divide each side by '91'. x = 1.21978022 Simplifying x = 1.21978022
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