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Simplifying 11x + -3 = 2(5x + 5) + -7 Reorder the terms: -3 + 11x = 2(5x + 5) + -7 Reorder the terms: -3 + 11x = 2(5 + 5x) + -7 -3 + 11x = (5 * 2 + 5x * 2) + -7 -3 + 11x = (10 + 10x) + -7 Reorder the terms: -3 + 11x = 10 + -7 + 10x Combine like terms: 10 + -7 = 3 -3 + 11x = 3 + 10x Solving -3 + 11x = 3 + 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 = 3 + 10x + -10x Combine like terms: 11x + -10x = 1x -3 + 1x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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