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Simplifying 6(x + 3) = 4(1 + -2x) Reorder the terms: 6(3 + x) = 4(1 + -2x) (3 * 6 + x * 6) = 4(1 + -2x) (18 + 6x) = 4(1 + -2x) 18 + 6x = (1 * 4 + -2x * 4) 18 + 6x = (4 + -8x) Solving 18 + 6x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + 6x + 8x = 4 + -8x + 8x Combine like terms: 6x + 8x = 14x 18 + 14x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 14x = 4 + 0 18 + 14x = 4 Add '-18' to each side of the equation. 18 + -18 + 14x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 14x = 4 + -18 14x = 4 + -18 Combine like terms: 4 + -18 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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