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Simplifying 10x + -2(2x + -4) = 5x + 6 Reorder the terms: 10x + -2(-4 + 2x) = 5x + 6 10x + (-4 * -2 + 2x * -2) = 5x + 6 10x + (8 + -4x) = 5x + 6 Reorder the terms: 8 + 10x + -4x = 5x + 6 Combine like terms: 10x + -4x = 6x 8 + 6x = 5x + 6 Reorder the terms: 8 + 6x = 6 + 5x Solving 8 + 6x = 6 + 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. 8 + 6x + -5x = 6 + 5x + -5x Combine like terms: 6x + -5x = 1x 8 + 1x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 1x = 6 + 0 8 + 1x = 6 Add '-8' to each side of the equation. 8 + -8 + 1x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 6 + -8 1x = 6 + -8 Combine like terms: 6 + -8 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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