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Simplifying 6x + 7(3x + -4) = 1 + -2x Reorder the terms: 6x + 7(-4 + 3x) = 1 + -2x 6x + (-4 * 7 + 3x * 7) = 1 + -2x 6x + (-28 + 21x) = 1 + -2x Reorder the terms: -28 + 6x + 21x = 1 + -2x Combine like terms: 6x + 21x = 27x -28 + 27x = 1 + -2x Solving -28 + 27x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + 27x + 2x = 1 + -2x + 2x Combine like terms: 27x + 2x = 29x -28 + 29x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + 29x = 1 + 0 -28 + 29x = 1 Add '28' to each side of the equation. -28 + 28 + 29x = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 29x = 1 + 28 29x = 1 + 28 Combine like terms: 1 + 28 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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