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Simplifying 11x + 3 = 10(x + 7) + -9 Reorder the terms: 3 + 11x = 10(x + 7) + -9 Reorder the terms: 3 + 11x = 10(7 + x) + -9 3 + 11x = (7 * 10 + x * 10) + -9 3 + 11x = (70 + 10x) + -9 Reorder the terms: 3 + 11x = 70 + -9 + 10x Combine like terms: 70 + -9 = 61 3 + 11x = 61 + 10x Solving 3 + 11x = 61 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 11x + -10x = 61 + 10x + -10x Combine like terms: 11x + -10x = 1x 3 + 1x = 61 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + 1x = 61 + 0 3 + 1x = 61 Add '-3' to each side of the equation. 3 + -3 + 1x = 61 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 61 + -3 1x = 61 + -3 Combine like terms: 61 + -3 = 58 1x = 58 Divide each side by '1'. x = 58 Simplifying x = 58
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