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Simplifying 3(4x + 2 + -6x) = 4(3x + -7 + 4x) Reorder the terms: 3(2 + 4x + -6x) = 4(3x + -7 + 4x) Combine like terms: 4x + -6x = -2x 3(2 + -2x) = 4(3x + -7 + 4x) (2 * 3 + -2x * 3) = 4(3x + -7 + 4x) (6 + -6x) = 4(3x + -7 + 4x) Reorder the terms: 6 + -6x = 4(-7 + 3x + 4x) Combine like terms: 3x + 4x = 7x 6 + -6x = 4(-7 + 7x) 6 + -6x = (-7 * 4 + 7x * 4) 6 + -6x = (-28 + 28x) Solving 6 + -6x = -28 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 6 + -6x + -28x = -28 + 28x + -28x Combine like terms: -6x + -28x = -34x 6 + -34x = -28 + 28x + -28x Combine like terms: 28x + -28x = 0 6 + -34x = -28 + 0 6 + -34x = -28 Add '-6' to each side of the equation. 6 + -6 + -34x = -28 + -6 Combine like terms: 6 + -6 = 0 0 + -34x = -28 + -6 -34x = -28 + -6 Combine like terms: -28 + -6 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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