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Simplifying 39x + -60 + -8x = -2 + 5(2x + 1) Reorder the terms: -60 + 39x + -8x = -2 + 5(2x + 1) Combine like terms: 39x + -8x = 31x -60 + 31x = -2 + 5(2x + 1) Reorder the terms: -60 + 31x = -2 + 5(1 + 2x) -60 + 31x = -2 + (1 * 5 + 2x * 5) -60 + 31x = -2 + (5 + 10x) Combine like terms: -2 + 5 = 3 -60 + 31x = 3 + 10x Solving -60 + 31x = 3 + 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. -60 + 31x + -10x = 3 + 10x + -10x Combine like terms: 31x + -10x = 21x -60 + 21x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -60 + 21x = 3 + 0 -60 + 21x = 3 Add '60' to each side of the equation. -60 + 60 + 21x = 3 + 60 Combine like terms: -60 + 60 = 0 0 + 21x = 3 + 60 21x = 3 + 60 Combine like terms: 3 + 60 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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