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Simplifying 7(x + -9) = 4x + 6 Reorder the terms: 7(-9 + x) = 4x + 6 (-9 * 7 + x * 7) = 4x + 6 (-63 + 7x) = 4x + 6 Reorder the terms: -63 + 7x = 6 + 4x Solving -63 + 7x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -63 + 7x + -4x = 6 + 4x + -4x Combine like terms: 7x + -4x = 3x -63 + 3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -63 + 3x = 6 + 0 -63 + 3x = 6 Add '63' to each side of the equation. -63 + 63 + 3x = 6 + 63 Combine like terms: -63 + 63 = 0 0 + 3x = 6 + 63 3x = 6 + 63 Combine like terms: 6 + 63 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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