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Simplifying 5(x + 6) = 8(x + 3) + 2 Reorder the terms: 5(6 + x) = 8(x + 3) + 2 (6 * 5 + x * 5) = 8(x + 3) + 2 (30 + 5x) = 8(x + 3) + 2 Reorder the terms: 30 + 5x = 8(3 + x) + 2 30 + 5x = (3 * 8 + x * 8) + 2 30 + 5x = (24 + 8x) + 2 Reorder the terms: 30 + 5x = 24 + 2 + 8x Combine like terms: 24 + 2 = 26 30 + 5x = 26 + 8x Solving 30 + 5x = 26 + 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 = 26 + 8x + -8x Combine like terms: 5x + -8x = -3x 30 + -3x = 26 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -3x = 26 + 0 30 + -3x = 26 Add '-30' to each side of the equation. 30 + -30 + -3x = 26 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 26 + -30 -3x = 26 + -30 Combine like terms: 26 + -30 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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