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Simplifying 7(x + -9) = 6x + -7 Reorder the terms: 7(-9 + x) = 6x + -7 (-9 * 7 + x * 7) = 6x + -7 (-63 + 7x) = 6x + -7 Reorder the terms: -63 + 7x = -7 + 6x Solving -63 + 7x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -63 + 7x + -6x = -7 + 6x + -6x Combine like terms: 7x + -6x = 1x -63 + 1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -63 + 1x = -7 + 0 -63 + 1x = -7 Add '63' to each side of the equation. -63 + 63 + 1x = -7 + 63 Combine like terms: -63 + 63 = 0 0 + 1x = -7 + 63 1x = -7 + 63 Combine like terms: -7 + 63 = 56 1x = 56 Divide each side by '1'. x = 56 Simplifying x = 56
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