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Simplifying 5(x + 6) + 3(-1x + 8) = 6 Reorder the terms: 5(6 + x) + 3(-1x + 8) = 6 (6 * 5 + x * 5) + 3(-1x + 8) = 6 (30 + 5x) + 3(-1x + 8) = 6 Reorder the terms: 30 + 5x + 3(8 + -1x) = 6 30 + 5x + (8 * 3 + -1x * 3) = 6 30 + 5x + (24 + -3x) = 6 Reorder the terms: 30 + 24 + 5x + -3x = 6 Combine like terms: 30 + 24 = 54 54 + 5x + -3x = 6 Combine like terms: 5x + -3x = 2x 54 + 2x = 6 Solving 54 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 2x = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = 6 + -54 2x = 6 + -54 Combine like terms: 6 + -54 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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