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Simplifying 4(7x + -5) = 6(3x + 2) + 78 Reorder the terms: 4(-5 + 7x) = 6(3x + 2) + 78 (-5 * 4 + 7x * 4) = 6(3x + 2) + 78 (-20 + 28x) = 6(3x + 2) + 78 Reorder the terms: -20 + 28x = 6(2 + 3x) + 78 -20 + 28x = (2 * 6 + 3x * 6) + 78 -20 + 28x = (12 + 18x) + 78 Reorder the terms: -20 + 28x = 12 + 78 + 18x Combine like terms: 12 + 78 = 90 -20 + 28x = 90 + 18x Solving -20 + 28x = 90 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -20 + 28x + -18x = 90 + 18x + -18x Combine like terms: 28x + -18x = 10x -20 + 10x = 90 + 18x + -18x Combine like terms: 18x + -18x = 0 -20 + 10x = 90 + 0 -20 + 10x = 90 Add '20' to each side of the equation. -20 + 20 + 10x = 90 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 90 + 20 10x = 90 + 20 Combine like terms: 90 + 20 = 110 10x = 110 Divide each side by '10'. x = 11 Simplifying x = 11
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