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Simplifying 11x + -8 = 5(2x + 4) + -12 Reorder the terms: -8 + 11x = 5(2x + 4) + -12 Reorder the terms: -8 + 11x = 5(4 + 2x) + -12 -8 + 11x = (4 * 5 + 2x * 5) + -12 -8 + 11x = (20 + 10x) + -12 Reorder the terms: -8 + 11x = 20 + -12 + 10x Combine like terms: 20 + -12 = 8 -8 + 11x = 8 + 10x Solving -8 + 11x = 8 + 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. -8 + 11x + -10x = 8 + 10x + -10x Combine like terms: 11x + -10x = 1x -8 + 1x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 1x = 8 + 0 -8 + 1x = 8 Add '8' to each side of the equation. -8 + 8 + 1x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 8 + 8 1x = 8 + 8 Combine like terms: 8 + 8 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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