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Simplifying 3(x + 1) + 5x = 6(x + 6) + -1 Reorder the terms: 3(1 + x) + 5x = 6(x + 6) + -1 (1 * 3 + x * 3) + 5x = 6(x + 6) + -1 (3 + 3x) + 5x = 6(x + 6) + -1 Combine like terms: 3x + 5x = 8x 3 + 8x = 6(x + 6) + -1 Reorder the terms: 3 + 8x = 6(6 + x) + -1 3 + 8x = (6 * 6 + x * 6) + -1 3 + 8x = (36 + 6x) + -1 Reorder the terms: 3 + 8x = 36 + -1 + 6x Combine like terms: 36 + -1 = 35 3 + 8x = 35 + 6x Solving 3 + 8x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 8x + -6x = 35 + 6x + -6x Combine like terms: 8x + -6x = 2x 3 + 2x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 2x = 35 + 0 3 + 2x = 35 Add '-3' to each side of the equation. 3 + -3 + 2x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 35 + -3 2x = 35 + -3 Combine like terms: 35 + -3 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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