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Simplifying 4(2(x + 3) + 7) + -5x = 61 Reorder the terms: 4(2(3 + x) + 7) + -5x = 61 4((3 * 2 + x * 2) + 7) + -5x = 61 4((6 + 2x) + 7) + -5x = 61 Reorder the terms: 4(6 + 7 + 2x) + -5x = 61 Combine like terms: 6 + 7 = 13 4(13 + 2x) + -5x = 61 (13 * 4 + 2x * 4) + -5x = 61 (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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