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Simplifying 2(2x + -4) = 13 + x Reorder the terms: 2(-4 + 2x) = 13 + x (-4 * 2 + 2x * 2) = 13 + x (-8 + 4x) = 13 + x Solving -8 + 4x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 4x + -1x = 13 + x + -1x Combine like terms: 4x + -1x = 3x -8 + 3x = 13 + x + -1x Combine like terms: x + -1x = 0 -8 + 3x = 13 + 0 -8 + 3x = 13 Add '8' to each side of the equation. -8 + 8 + 3x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 13 + 8 3x = 13 + 8 Combine like terms: 13 + 8 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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