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Simplifying 2(3x + 4) = 7(4x + -2) Reorder the terms: 2(4 + 3x) = 7(4x + -2) (4 * 2 + 3x * 2) = 7(4x + -2) (8 + 6x) = 7(4x + -2) Reorder the terms: 8 + 6x = 7(-2 + 4x) 8 + 6x = (-2 * 7 + 4x * 7) 8 + 6x = (-14 + 28x) Solving 8 + 6x = -14 + 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. 8 + 6x + -28x = -14 + 28x + -28x Combine like terms: 6x + -28x = -22x 8 + -22x = -14 + 28x + -28x Combine like terms: 28x + -28x = 0 8 + -22x = -14 + 0 8 + -22x = -14 Add '-8' to each side of the equation. 8 + -8 + -22x = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -22x = -14 + -8 -22x = -14 + -8 Combine like terms: -14 + -8 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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