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Simplifying 10(2x + -1) = 8(2x + 1) + 14 Reorder the terms: 10(-1 + 2x) = 8(2x + 1) + 14 (-1 * 10 + 2x * 10) = 8(2x + 1) + 14 (-10 + 20x) = 8(2x + 1) + 14 Reorder the terms: -10 + 20x = 8(1 + 2x) + 14 -10 + 20x = (1 * 8 + 2x * 8) + 14 -10 + 20x = (8 + 16x) + 14 Reorder the terms: -10 + 20x = 8 + 14 + 16x Combine like terms: 8 + 14 = 22 -10 + 20x = 22 + 16x Solving -10 + 20x = 22 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -10 + 20x + -16x = 22 + 16x + -16x Combine like terms: 20x + -16x = 4x -10 + 4x = 22 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + 4x = 22 + 0 -10 + 4x = 22 Add '10' to each side of the equation. -10 + 10 + 4x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 22 + 10 4x = 22 + 10 Combine like terms: 22 + 10 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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