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Simplifying 7(-3x + 4) = 6x Reorder the terms: 7(4 + -3x) = 6x (4 * 7 + -3x * 7) = 6x (28 + -21x) = 6x Solving 28 + -21x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + -21x + -6x = 6x + -6x Combine like terms: -21x + -6x = -27x 28 + -27x = 6x + -6x Combine like terms: 6x + -6x = 0 28 + -27x = 0 Add '-28' to each side of the equation. 28 + -28 + -27x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -27x = 0 + -28 -27x = 0 + -28 Combine like terms: 0 + -28 = -28 -27x = -28 Divide each side by '-27'. x = 1.037037037 Simplifying x = 1.037037037
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