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Simplifying 6[x + -3] = 3[x + 4] Reorder the terms: 6[-3 + x] = 3[x + 4] [-3 * 6 + x * 6] = 3[x + 4] [-18 + 6x] = 3[x + 4] Reorder the terms: -18 + 6x = 3[4 + x] -18 + 6x = [4 * 3 + x * 3] -18 + 6x = [12 + 3x] Solving -18 + 6x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x -18 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 3x = 12 + 0 -18 + 3x = 12 Add '18' to each side of the equation. -18 + 18 + 3x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 12 + 18 3x = 12 + 18 Combine like terms: 12 + 18 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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