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Simplifying 11x + -6 = 5(2x + 5) + -19 Reorder the terms: -6 + 11x = 5(2x + 5) + -19 Reorder the terms: -6 + 11x = 5(5 + 2x) + -19 -6 + 11x = (5 * 5 + 2x * 5) + -19 -6 + 11x = (25 + 10x) + -19 Reorder the terms: -6 + 11x = 25 + -19 + 10x Combine like terms: 25 + -19 = 6 -6 + 11x = 6 + 10x Solving -6 + 11x = 6 + 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. -6 + 11x + -10x = 6 + 10x + -10x Combine like terms: 11x + -10x = 1x -6 + 1x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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