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Simplifying 3(x + 4) + -2(3x + -1) = 4x Reorder the terms: 3(4 + x) + -2(3x + -1) = 4x (4 * 3 + x * 3) + -2(3x + -1) = 4x (12 + 3x) + -2(3x + -1) = 4x Reorder the terms: 12 + 3x + -2(-1 + 3x) = 4x 12 + 3x + (-1 * -2 + 3x * -2) = 4x 12 + 3x + (2 + -6x) = 4x Reorder the terms: 12 + 2 + 3x + -6x = 4x Combine like terms: 12 + 2 = 14 14 + 3x + -6x = 4x Combine like terms: 3x + -6x = -3x 14 + -3x = 4x Solving 14 + -3x = 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. 14 + -3x + -4x = 4x + -4x Combine like terms: -3x + -4x = -7x 14 + -7x = 4x + -4x Combine like terms: 4x + -4x = 0 14 + -7x = 0 Add '-14' to each side of the equation. 14 + -14 + -7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 0 + -14 -7x = 0 + -14 Combine like terms: 0 + -14 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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