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Simplifying 6(x + -3) = 4x + 12 Reorder the terms: 6(-3 + x) = 4x + 12 (-3 * 6 + x * 6) = 4x + 12 (-18 + 6x) = 4x + 12 Reorder the terms: -18 + 6x = 12 + 4x Solving -18 + 6x = 12 + 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 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = 12 + 0 -18 + 2x = 12 Add '18' to each side of the equation. -18 + 18 + 2x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 12 + 18 2x = 12 + 18 Combine like terms: 12 + 18 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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