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Simplifying 2[x + -3] = 4[x + 6] Reorder the terms: 2[-3 + x] = 4[x + 6] [-3 * 2 + x * 2] = 4[x + 6] [-6 + 2x] = 4[x + 6] Reorder the terms: -6 + 2x = 4[6 + x] -6 + 2x = [6 * 4 + x * 4] -6 + 2x = [24 + 4x] Solving -6 + 2x = 24 + 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 = 24 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = 24 + 0 -6 + -2x = 24 Add '6' to each side of the equation. -6 + 6 + -2x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 24 + 6 -2x = 24 + 6 Combine like terms: 24 + 6 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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