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Simplifying 11x + -1 = 5(2x + 4) + -19 Reorder the terms: -1 + 11x = 5(2x + 4) + -19 Reorder the terms: -1 + 11x = 5(4 + 2x) + -19 -1 + 11x = (4 * 5 + 2x * 5) + -19 -1 + 11x = (20 + 10x) + -19 Reorder the terms: -1 + 11x = 20 + -19 + 10x Combine like terms: 20 + -19 = 1 -1 + 11x = 1 + 10x Solving -1 + 11x = 1 + 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. -1 + 11x + -10x = 1 + 10x + -10x Combine like terms: 11x + -10x = 1x -1 + 1x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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