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Simplifying 4(7x + -1) + -13(2 + -5x) = 4(3x + 5) + -6 Reorder the terms: 4(-1 + 7x) + -13(2 + -5x) = 4(3x + 5) + -6 (-1 * 4 + 7x * 4) + -13(2 + -5x) = 4(3x + 5) + -6 (-4 + 28x) + -13(2 + -5x) = 4(3x + 5) + -6 -4 + 28x + (2 * -13 + -5x * -13) = 4(3x + 5) + -6 -4 + 28x + (-26 + 65x) = 4(3x + 5) + -6 Reorder the terms: -4 + -26 + 28x + 65x = 4(3x + 5) + -6 Combine like terms: -4 + -26 = -30 -30 + 28x + 65x = 4(3x + 5) + -6 Combine like terms: 28x + 65x = 93x -30 + 93x = 4(3x + 5) + -6 Reorder the terms: -30 + 93x = 4(5 + 3x) + -6 -30 + 93x = (5 * 4 + 3x * 4) + -6 -30 + 93x = (20 + 12x) + -6 Reorder the terms: -30 + 93x = 20 + -6 + 12x Combine like terms: 20 + -6 = 14 -30 + 93x = 14 + 12x Solving -30 + 93x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -30 + 93x + -12x = 14 + 12x + -12x Combine like terms: 93x + -12x = 81x -30 + 81x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + 81x = 14 + 0 -30 + 81x = 14 Add '30' to each side of the equation. -30 + 30 + 81x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 81x = 14 + 30 81x = 14 + 30 Combine like terms: 14 + 30 = 44 81x = 44 Divide each side by '81'. x = 0.5432098765 Simplifying x = 0.5432098765
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