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Simplifying 1 + -3x = 7(1 + 4x) + -6 1 + -3x = (1 * 7 + 4x * 7) + -6 1 + -3x = (7 + 28x) + -6 Reorder the terms: 1 + -3x = 7 + -6 + 28x Combine like terms: 7 + -6 = 1 1 + -3x = 1 + 28x Add '-1' to each side of the equation. 1 + -1 + -3x = 1 + -1 + 28x Combine like terms: 1 + -1 = 0 0 + -3x = 1 + -1 + 28x -3x = 1 + -1 + 28x Combine like terms: 1 + -1 = 0 -3x = 0 + 28x -3x = 28x Solving -3x = 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. -3x + -28x = 28x + -28x Combine like terms: -3x + -28x = -31x -31x = 28x + -28x Combine like terms: 28x + -28x = 0 -31x = 0 Divide each side by '-31'. x = 0 Simplifying x = 0
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