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Simplifying -1(4x + -4) + -6(4 + -1x) = 2x + -4x Reorder the terms: -1(-4 + 4x) + -6(4 + -1x) = 2x + -4x (-4 * -1 + 4x * -1) + -6(4 + -1x) = 2x + -4x (4 + -4x) + -6(4 + -1x) = 2x + -4x 4 + -4x + (4 * -6 + -1x * -6) = 2x + -4x 4 + -4x + (-24 + 6x) = 2x + -4x Reorder the terms: 4 + -24 + -4x + 6x = 2x + -4x Combine like terms: 4 + -24 = -20 -20 + -4x + 6x = 2x + -4x Combine like terms: -4x + 6x = 2x -20 + 2x = 2x + -4x Combine like terms: 2x + -4x = -2x -20 + 2x = -2x Solving -20 + 2x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 2x + 2x = -2x + 2x Combine like terms: 2x + 2x = 4x -20 + 4x = -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 4x = 0 Add '20' to each side of the equation. -20 + 20 + 4x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 0 + 20 4x = 0 + 20 Combine like terms: 0 + 20 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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