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Simplifying 3 + 7(2x + -3) = 4x + 12 Reorder the terms: 3 + 7(-3 + 2x) = 4x + 12 3 + (-3 * 7 + 2x * 7) = 4x + 12 3 + (-21 + 14x) = 4x + 12 Combine like terms: 3 + -21 = -18 -18 + 14x = 4x + 12 Reorder the terms: -18 + 14x = 12 + 4x Solving -18 + 14x = 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 + 14x + -4x = 12 + 4x + -4x Combine like terms: 14x + -4x = 10x -18 + 10x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 10x = 12 + 0 -18 + 10x = 12 Add '18' to each side of the equation. -18 + 18 + 10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 12 + 18 10x = 12 + 18 Combine like terms: 12 + 18 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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