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Simplifying 7x + -3(x + -2) = 3(x + 4) Reorder the terms: 7x + -3(-2 + x) = 3(x + 4) 7x + (-2 * -3 + x * -3) = 3(x + 4) 7x + (6 + -3x) = 3(x + 4) Reorder the terms: 6 + 7x + -3x = 3(x + 4) Combine like terms: 7x + -3x = 4x 6 + 4x = 3(x + 4) Reorder the terms: 6 + 4x = 3(4 + x) 6 + 4x = (4 * 3 + x * 3) 6 + 4x = (12 + 3x) Solving 6 + 4x = 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. 6 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x = 12 + 0 6 + 1x = 12 Add '-6' to each side of the equation. 6 + -6 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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