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Simplifying 8(x + 5) + -2(x + 3) = 46 Reorder the terms: 8(5 + x) + -2(x + 3) = 46 (5 * 8 + x * 8) + -2(x + 3) = 46 (40 + 8x) + -2(x + 3) = 46 Reorder the terms: 40 + 8x + -2(3 + x) = 46 40 + 8x + (3 * -2 + x * -2) = 46 40 + 8x + (-6 + -2x) = 46 Reorder the terms: 40 + -6 + 8x + -2x = 46 Combine like terms: 40 + -6 = 34 34 + 8x + -2x = 46 Combine like terms: 8x + -2x = 6x 34 + 6x = 46 Solving 34 + 6x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 6x = 46 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 46 + -34 6x = 46 + -34 Combine like terms: 46 + -34 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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