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Simplifying 2(3 + -1x) = 4(4x + 6) (3 * 2 + -1x * 2) = 4(4x + 6) (6 + -2x) = 4(4x + 6) Reorder the terms: 6 + -2x = 4(6 + 4x) 6 + -2x = (6 * 4 + 4x * 4) 6 + -2x = (24 + 16x) Solving 6 + -2x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6 + -2x + -16x = 24 + 16x + -16x Combine like terms: -2x + -16x = -18x 6 + -18x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + -18x = 24 + 0 6 + -18x = 24 Add '-6' to each side of the equation. 6 + -6 + -18x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = 24 + -6 -18x = 24 + -6 Combine like terms: 24 + -6 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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