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Simplifying 2[x + 3] = 4[x + -2] Reorder the terms: 2[3 + x] = 4[x + -2] [3 * 2 + x * 2] = 4[x + -2] [6 + 2x] = 4[x + -2] Reorder the terms: 6 + 2x = 4[-2 + x] 6 + 2x = [-2 * 4 + x * 4] 6 + 2x = [-8 + 4x] Solving 6 + 2x = -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. 6 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = -8 + 0 6 + -2x = -8 Add '-6' to each side of the equation. 6 + -6 + -2x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -8 + -6 -2x = -8 + -6 Combine like terms: -8 + -6 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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