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Simplifying 48 = 3(x + 5) + (-1 + 7x) Reorder the terms: 48 = 3(5 + x) + (-1 + 7x) 48 = (5 * 3 + x * 3) + (-1 + 7x) 48 = (15 + 3x) + (-1 + 7x) Remove parenthesis around (-1 + 7x) 48 = 15 + 3x + -1 + 7x Reorder the terms: 48 = 15 + -1 + 3x + 7x Combine like terms: 15 + -1 = 14 48 = 14 + 3x + 7x Combine like terms: 3x + 7x = 10x 48 = 14 + 10x Solving 48 = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 48 + -10x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 48 + -10x = 14 + 0 48 + -10x = 14 Add '-48' to each side of the equation. 48 + -48 + -10x = 14 + -48 Combine like terms: 48 + -48 = 0 0 + -10x = 14 + -48 -10x = 14 + -48 Combine like terms: 14 + -48 = -34 -10x = -34 Divide each side by '-10'. x = 3.4 Simplifying x = 3.4
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