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Simplifying (3x + -6) * 7 = x + 1 Reorder the terms: (-6 + 3x) * 7 = x + 1 Reorder the terms for easier multiplication: 7(-6 + 3x) = x + 1 (-6 * 7 + 3x * 7) = x + 1 (-42 + 21x) = x + 1 Reorder the terms: -42 + 21x = 1 + x Solving -42 + 21x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + 21x + -1x = 1 + x + -1x Combine like terms: 21x + -1x = 20x -42 + 20x = 1 + x + -1x Combine like terms: x + -1x = 0 -42 + 20x = 1 + 0 -42 + 20x = 1 Add '42' to each side of the equation. -42 + 42 + 20x = 1 + 42 Combine like terms: -42 + 42 = 0 0 + 20x = 1 + 42 20x = 1 + 42 Combine like terms: 1 + 42 = 43 20x = 43 Divide each side by '20'. x = 2.15 Simplifying x = 2.15
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