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Simplifying 5(x + 3) + 3(x + -1) = 92 Reorder the terms: 5(3 + x) + 3(x + -1) = 92 (3 * 5 + x * 5) + 3(x + -1) = 92 (15 + 5x) + 3(x + -1) = 92 Reorder the terms: 15 + 5x + 3(-1 + x) = 92 15 + 5x + (-1 * 3 + x * 3) = 92 15 + 5x + (-3 + 3x) = 92 Reorder the terms: 15 + -3 + 5x + 3x = 92 Combine like terms: 15 + -3 = 12 12 + 5x + 3x = 92 Combine like terms: 5x + 3x = 8x 12 + 8x = 92 Solving 12 + 8x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 92 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 92 + -12 8x = 92 + -12 Combine like terms: 92 + -12 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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