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Simplifying 8x + -4(x + 3) = 5(7x + -1) Reorder the terms: 8x + -4(3 + x) = 5(7x + -1) 8x + (3 * -4 + x * -4) = 5(7x + -1) 8x + (-12 + -4x) = 5(7x + -1) Reorder the terms: -12 + 8x + -4x = 5(7x + -1) Combine like terms: 8x + -4x = 4x -12 + 4x = 5(7x + -1) Reorder the terms: -12 + 4x = 5(-1 + 7x) -12 + 4x = (-1 * 5 + 7x * 5) -12 + 4x = (-5 + 35x) Solving -12 + 4x = -5 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -12 + 4x + -35x = -5 + 35x + -35x Combine like terms: 4x + -35x = -31x -12 + -31x = -5 + 35x + -35x Combine like terms: 35x + -35x = 0 -12 + -31x = -5 + 0 -12 + -31x = -5 Add '12' to each side of the equation. -12 + 12 + -31x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -31x = -5 + 12 -31x = -5 + 12 Combine like terms: -5 + 12 = 7 -31x = 7 Divide each side by '-31'. x = -0.2258064516 Simplifying x = -0.2258064516
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