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Simplifying (4x + -1) * 4 = (2x + 1) * 2 + (x + 2) * 2 Reorder the terms: (-1 + 4x) * 4 = (2x + 1) * 2 + (x + 2) * 2 Reorder the terms for easier multiplication: 4(-1 + 4x) = (2x + 1) * 2 + (x + 2) * 2 (-1 * 4 + 4x * 4) = (2x + 1) * 2 + (x + 2) * 2 (-4 + 16x) = (2x + 1) * 2 + (x + 2) * 2 Reorder the terms: -4 + 16x = (1 + 2x) * 2 + (x + 2) * 2 Reorder the terms for easier multiplication: -4 + 16x = 2(1 + 2x) + (x + 2) * 2 -4 + 16x = (1 * 2 + 2x * 2) + (x + 2) * 2 -4 + 16x = (2 + 4x) + (x + 2) * 2 Reorder the terms: -4 + 16x = 2 + 4x + (2 + x) * 2 Reorder the terms for easier multiplication: -4 + 16x = 2 + 4x + 2(2 + x) -4 + 16x = 2 + 4x + (2 * 2 + x * 2) -4 + 16x = 2 + 4x + (4 + 2x) Reorder the terms: -4 + 16x = 2 + 4 + 4x + 2x Combine like terms: 2 + 4 = 6 -4 + 16x = 6 + 4x + 2x Combine like terms: 4x + 2x = 6x -4 + 16x = 6 + 6x Solving -4 + 16x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 16x + -6x = 6 + 6x + -6x Combine like terms: 16x + -6x = 10x -4 + 10x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 10x = 6 + 0 -4 + 10x = 6 Add '4' to each side of the equation. -4 + 4 + 10x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 6 + 4 10x = 6 + 4 Combine like terms: 6 + 4 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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