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Simplifying 2(5x + 1) + 5 = x + 43 Reorder the terms: 2(1 + 5x) + 5 = x + 43 (1 * 2 + 5x * 2) + 5 = x + 43 (2 + 10x) + 5 = x + 43 Reorder the terms: 2 + 5 + 10x = x + 43 Combine like terms: 2 + 5 = 7 7 + 10x = x + 43 Reorder the terms: 7 + 10x = 43 + x Solving 7 + 10x = 43 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 10x + -1x = 43 + x + -1x Combine like terms: 10x + -1x = 9x 7 + 9x = 43 + x + -1x Combine like terms: x + -1x = 0 7 + 9x = 43 + 0 7 + 9x = 43 Add '-7' to each side of the equation. 7 + -7 + 9x = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 43 + -7 9x = 43 + -7 Combine like terms: 43 + -7 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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