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Simplifying 5 + -1(x + 2) + -4(7x + 5) = 2(x + -5) Reorder the terms: 5 + -1(2 + x) + -4(7x + 5) = 2(x + -5) 5 + (2 * -1 + x * -1) + -4(7x + 5) = 2(x + -5) 5 + (-2 + -1x) + -4(7x + 5) = 2(x + -5) Reorder the terms: 5 + -2 + -1x + -4(5 + 7x) = 2(x + -5) 5 + -2 + -1x + (5 * -4 + 7x * -4) = 2(x + -5) 5 + -2 + -1x + (-20 + -28x) = 2(x + -5) Reorder the terms: 5 + -2 + -20 + -1x + -28x = 2(x + -5) Combine like terms: 5 + -2 = 3 3 + -20 + -1x + -28x = 2(x + -5) Combine like terms: 3 + -20 = -17 -17 + -1x + -28x = 2(x + -5) Combine like terms: -1x + -28x = -29x -17 + -29x = 2(x + -5) Reorder the terms: -17 + -29x = 2(-5 + x) -17 + -29x = (-5 * 2 + x * 2) -17 + -29x = (-10 + 2x) Solving -17 + -29x = -10 + 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. -17 + -29x + -2x = -10 + 2x + -2x Combine like terms: -29x + -2x = -31x -17 + -31x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -31x = -10 + 0 -17 + -31x = -10 Add '17' to each side of the equation. -17 + 17 + -31x = -10 + 17 Combine like terms: -17 + 17 = 0 0 + -31x = -10 + 17 -31x = -10 + 17 Combine like terms: -10 + 17 = 7 -31x = 7 Divide each side by '-31'. x = -0.2258064516 Simplifying x = -0.2258064516
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