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Simplifying 2(2x + -4) + 2(x + 1) = x + 8 + 2x + 3 + 2x + -7 Reorder the terms: 2(-4 + 2x) + 2(x + 1) = x + 8 + 2x + 3 + 2x + -7 (-4 * 2 + 2x * 2) + 2(x + 1) = x + 8 + 2x + 3 + 2x + -7 (-8 + 4x) + 2(x + 1) = x + 8 + 2x + 3 + 2x + -7 Reorder the terms: -8 + 4x + 2(1 + x) = x + 8 + 2x + 3 + 2x + -7 -8 + 4x + (1 * 2 + x * 2) = x + 8 + 2x + 3 + 2x + -7 -8 + 4x + (2 + 2x) = x + 8 + 2x + 3 + 2x + -7 Reorder the terms: -8 + 2 + 4x + 2x = x + 8 + 2x + 3 + 2x + -7 Combine like terms: -8 + 2 = -6 -6 + 4x + 2x = x + 8 + 2x + 3 + 2x + -7 Combine like terms: 4x + 2x = 6x -6 + 6x = x + 8 + 2x + 3 + 2x + -7 Reorder the terms: -6 + 6x = 8 + 3 + -7 + x + 2x + 2x Combine like terms: 8 + 3 = 11 -6 + 6x = 11 + -7 + x + 2x + 2x Combine like terms: 11 + -7 = 4 -6 + 6x = 4 + x + 2x + 2x Combine like terms: x + 2x = 3x -6 + 6x = 4 + 3x + 2x Combine like terms: 3x + 2x = 5x -6 + 6x = 4 + 5x Solving -6 + 6x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 6x + -5x = 4 + 5x + -5x Combine like terms: 6x + -5x = 1x -6 + 1x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 1x = 4 + 0 -6 + 1x = 4 Add '6' to each side of the equation. -6 + 6 + 1x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 4 + 6 1x = 4 + 6 Combine like terms: 4 + 6 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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