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