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Simplifying 11x + -16 = 5(2x + 4) + -4 Reorder the terms: -16 + 11x = 5(2x + 4) + -4 Reorder the terms: -16 + 11x = 5(4 + 2x) + -4 -16 + 11x = (4 * 5 + 2x * 5) + -4 -16 + 11x = (20 + 10x) + -4 Reorder the terms: -16 + 11x = 20 + -4 + 10x Combine like terms: 20 + -4 = 16 -16 + 11x = 16 + 10x Solving -16 + 11x = 16 + 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. -16 + 11x + -10x = 16 + 10x + -10x Combine like terms: 11x + -10x = 1x -16 + 1x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + 1x = 16 + 0 -16 + 1x = 16 Add '16' to each side of the equation. -16 + 16 + 1x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 16 + 16 1x = 16 + 16 Combine like terms: 16 + 16 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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