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Simplifying 2(3 + -1x) + 4(x + 3) = 4x + 12 (3 * 2 + -1x * 2) + 4(x + 3) = 4x + 12 (6 + -2x) + 4(x + 3) = 4x + 12 Reorder the terms: 6 + -2x + 4(3 + x) = 4x + 12 6 + -2x + (3 * 4 + x * 4) = 4x + 12 6 + -2x + (12 + 4x) = 4x + 12 Reorder the terms: 6 + 12 + -2x + 4x = 4x + 12 Combine like terms: 6 + 12 = 18 18 + -2x + 4x = 4x + 12 Combine like terms: -2x + 4x = 2x 18 + 2x = 4x + 12 Reorder the terms: 18 + 2x = 12 + 4x Solving 18 + 2x = 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 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -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 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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