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Simplifying 10(x + 1) + 4(5 + -1x) = 36 Reorder the terms: 10(1 + x) + 4(5 + -1x) = 36 (1 * 10 + x * 10) + 4(5 + -1x) = 36 (10 + 10x) + 4(5 + -1x) = 36 10 + 10x + (5 * 4 + -1x * 4) = 36 10 + 10x + (20 + -4x) = 36 Reorder the terms: 10 + 20 + 10x + -4x = 36 Combine like terms: 10 + 20 = 30 30 + 10x + -4x = 36 Combine like terms: 10x + -4x = 6x 30 + 6x = 36 Solving 30 + 6x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6x = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 36 + -30 6x = 36 + -30 Combine like terms: 36 + -30 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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