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Simplifying 7(x + 2) = 4[x + -1(6 + -1x)] Reorder the terms: 7(2 + x) = 4[x + -1(6 + -1x)] (2 * 7 + x * 7) = 4[x + -1(6 + -1x)] (14 + 7x) = 4[x + -1(6 + -1x)] 14 + 7x = 4[x + (6 * -1 + -1x * -1)] 14 + 7x = 4[x + (-6 + 1x)] Reorder the terms: 14 + 7x = 4[-6 + x + 1x] Combine like terms: x + 1x = 2x 14 + 7x = 4[-6 + 2x] 14 + 7x = [-6 * 4 + 2x * 4] 14 + 7x = [-24 + 8x] Solving 14 + 7x = -24 + 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. 14 + 7x + -8x = -24 + 8x + -8x Combine like terms: 7x + -8x = -1x 14 + -1x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -1x = -24 + 0 14 + -1x = -24 Add '-14' to each side of the equation. 14 + -14 + -1x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -24 + -14 -1x = -24 + -14 Combine like terms: -24 + -14 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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