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Simplifying 63 = (3(x + 6)) + (5(5x + -4)) Reorder the terms: 63 = (3(6 + x)) + (5(5x + -4)) 63 = ((6 * 3 + x * 3)) + (5(5x + -4)) 63 = ((18 + 3x)) + (5(5x + -4)) 63 = (18 + 3x) + (5(5x + -4)) Remove parenthesis around (18 + 3x) 63 = 18 + 3x + (5(5x + -4)) Reorder the terms: 63 = 18 + 3x + (5(-4 + 5x)) 63 = 18 + 3x + ((-4 * 5 + 5x * 5)) 63 = 18 + 3x + ((-20 + 25x)) 63 = 18 + 3x + (-20 + 25x) Remove parenthesis around (-20 + 25x) 63 = 18 + 3x + -20 + 25x Reorder the terms: 63 = 18 + -20 + 3x + 25x Combine like terms: 18 + -20 = -2 63 = -2 + 3x + 25x Combine like terms: 3x + 25x = 28x 63 = -2 + 28x Solving 63 = -2 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 63 + -28x = -2 + 28x + -28x Combine like terms: 28x + -28x = 0 63 + -28x = -2 + 0 63 + -28x = -2 Add '-63' to each side of the equation. 63 + -63 + -28x = -2 + -63 Combine like terms: 63 + -63 = 0 0 + -28x = -2 + -63 -28x = -2 + -63 Combine like terms: -2 + -63 = -65 -28x = -65 Divide each side by '-28'. x = 2.321428571 Simplifying x = 2.321428571
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