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Simplifying 8x + 4 + -2(1 + -1x) = 8x + 10x + -6 8x + 4 + (1 * -2 + -1x * -2) = 8x + 10x + -6 8x + 4 + (-2 + 2x) = 8x + 10x + -6 Reorder the terms: 4 + -2 + 8x + 2x = 8x + 10x + -6 Combine like terms: 4 + -2 = 2 2 + 8x + 2x = 8x + 10x + -6 Combine like terms: 8x + 2x = 10x 2 + 10x = 8x + 10x + -6 Reorder the terms: 2 + 10x = -6 + 8x + 10x Combine like terms: 8x + 10x = 18x 2 + 10x = -6 + 18x Solving 2 + 10x = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2 + 10x + -18x = -6 + 18x + -18x Combine like terms: 10x + -18x = -8x 2 + -8x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 2 + -8x = -6 + 0 2 + -8x = -6 Add '-2' to each side of the equation. 2 + -2 + -8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -6 + -2 -8x = -6 + -2 Combine like terms: -6 + -2 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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