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Simplifying 3(x + 6) = 2[x + -1(4 + -1x)] Reorder the terms: 3(6 + x) = 2[x + -1(4 + -1x)] (6 * 3 + x * 3) = 2[x + -1(4 + -1x)] (18 + 3x) = 2[x + -1(4 + -1x)] 18 + 3x = 2[x + (4 * -1 + -1x * -1)] 18 + 3x = 2[x + (-4 + 1x)] Reorder the terms: 18 + 3x = 2[-4 + x + 1x] Combine like terms: x + 1x = 2x 18 + 3x = 2[-4 + 2x] 18 + 3x = [-4 * 2 + 2x * 2] 18 + 3x = [-8 + 4x] Solving 18 + 3x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 3x + -4x = -8 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = -8 + 0 18 + -1x = -8 Add '-18' to each side of the equation. 18 + -18 + -1x = -8 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -8 + -18 -1x = -8 + -18 Combine like terms: -8 + -18 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26
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