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Simplifying 5(x + 6) = 3(x + 1) + 5x Reorder the terms: 5(6 + x) = 3(x + 1) + 5x (6 * 5 + x * 5) = 3(x + 1) + 5x (30 + 5x) = 3(x + 1) + 5x Reorder the terms: 30 + 5x = 3(1 + x) + 5x 30 + 5x = (1 * 3 + x * 3) + 5x 30 + 5x = (3 + 3x) + 5x Combine like terms: 3x + 5x = 8x 30 + 5x = 3 + 8x Solving 30 + 5x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 5x + -8x = 3 + 8x + -8x Combine like terms: 5x + -8x = -3x 30 + -3x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -3x = 3 + 0 30 + -3x = 3 Add '-30' to each side of the equation. 30 + -30 + -3x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 3 + -30 -3x = 3 + -30 Combine like terms: 3 + -30 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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