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Simplifying 6 + 2(2 + -4x) = 6x + 2(2x + -4) 6 + (2 * 2 + -4x * 2) = 6x + 2(2x + -4) 6 + (4 + -8x) = 6x + 2(2x + -4) Combine like terms: 6 + 4 = 10 10 + -8x = 6x + 2(2x + -4) Reorder the terms: 10 + -8x = 6x + 2(-4 + 2x) 10 + -8x = 6x + (-4 * 2 + 2x * 2) 10 + -8x = 6x + (-8 + 4x) Reorder the terms: 10 + -8x = -8 + 6x + 4x Combine like terms: 6x + 4x = 10x 10 + -8x = -8 + 10x Solving 10 + -8x = -8 + 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. 10 + -8x + -10x = -8 + 10x + -10x Combine like terms: -8x + -10x = -18x 10 + -18x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -18x = -8 + 0 10 + -18x = -8 Add '-10' to each side of the equation. 10 + -10 + -18x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -18x = -8 + -10 -18x = -8 + -10 Combine like terms: -8 + -10 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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