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Simplifying 7(x + -9) = 3x + 1 Reorder the terms: 7(-9 + x) = 3x + 1 (-9 * 7 + x * 7) = 3x + 1 (-63 + 7x) = 3x + 1 Reorder the terms: -63 + 7x = 1 + 3x Solving -63 + 7x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -63 + 7x + -3x = 1 + 3x + -3x Combine like terms: 7x + -3x = 4x -63 + 4x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -63 + 4x = 1 + 0 -63 + 4x = 1 Add '63' to each side of the equation. -63 + 63 + 4x = 1 + 63 Combine like terms: -63 + 63 = 0 0 + 4x = 1 + 63 4x = 1 + 63 Combine like terms: 1 + 63 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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