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Simplifying 2(4x + -2) + 2x + 5 = x + 5 + 4x + 2 + 4x + 16 Reorder the terms: 2(-2 + 4x) + 2x + 5 = x + 5 + 4x + 2 + 4x + 16 (-2 * 2 + 4x * 2) + 2x + 5 = x + 5 + 4x + 2 + 4x + 16 (-4 + 8x) + 2x + 5 = x + 5 + 4x + 2 + 4x + 16 Reorder the terms: -4 + 5 + 8x + 2x = x + 5 + 4x + 2 + 4x + 16 Combine like terms: -4 + 5 = 1 1 + 8x + 2x = x + 5 + 4x + 2 + 4x + 16 Combine like terms: 8x + 2x = 10x 1 + 10x = x + 5 + 4x + 2 + 4x + 16 Reorder the terms: 1 + 10x = 5 + 2 + 16 + x + 4x + 4x Combine like terms: 5 + 2 = 7 1 + 10x = 7 + 16 + x + 4x + 4x Combine like terms: 7 + 16 = 23 1 + 10x = 23 + x + 4x + 4x Combine like terms: x + 4x = 5x 1 + 10x = 23 + 5x + 4x Combine like terms: 5x + 4x = 9x 1 + 10x = 23 + 9x Solving 1 + 10x = 23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 10x + -9x = 23 + 9x + -9x Combine like terms: 10x + -9x = 1x 1 + 1x = 23 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + 1x = 23 + 0 1 + 1x = 23 Add '-1' to each side of the equation. 1 + -1 + 1x = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 23 + -1 1x = 23 + -1 Combine like terms: 23 + -1 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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