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Simplifying 11x + -4 = 2(5x + 3) + -2 Reorder the terms: -4 + 11x = 2(5x + 3) + -2 Reorder the terms: -4 + 11x = 2(3 + 5x) + -2 -4 + 11x = (3 * 2 + 5x * 2) + -2 -4 + 11x = (6 + 10x) + -2 Reorder the terms: -4 + 11x = 6 + -2 + 10x Combine like terms: 6 + -2 = 4 -4 + 11x = 4 + 10x Solving -4 + 11x = 4 + 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. -4 + 11x + -10x = 4 + 10x + -10x Combine like terms: 11x + -10x = 1x -4 + 1x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 1x = 4 + 0 -4 + 1x = 4 Add '4' to each side of the equation. -4 + 4 + 1x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 4 + 4 1x = 4 + 4 Combine like terms: 4 + 4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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