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Simplifying 4[2(x + 3) + 7] + -1(5x) = 61 Reorder the terms: 4[2(3 + x) + 7] + -1(5x) = 61 4[(3 * 2 + x * 2) + 7] + -1(5x) = 61 4[(6 + 2x) + 7] + -1(5x) = 61 Reorder the terms: 4[6 + 7 + 2x] + -1(5x) = 61 Combine like terms: 6 + 7 = 13 4[13 + 2x] + -1(5x) = 61 [13 * 4 + 2x * 4] + -1(5x) = 61 [52 + 8x] + -1(5x) = 61 Remove parenthesis around (5x) 52 + 8x + -1 * 5x = 61 Multiply -1 * 5 52 + 8x + -5x = 61 Combine like terms: 8x + -5x = 3x 52 + 3x = 61 Solving 52 + 3x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 3x = 61 + -52 Combine like terms: 52 + -52 = 0 0 + 3x = 61 + -52 3x = 61 + -52 Combine like terms: 61 + -52 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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