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Simplifying 7(x + -9) = 6(x + -1) Reorder the terms: 7(-9 + x) = 6(x + -1) (-9 * 7 + x * 7) = 6(x + -1) (-63 + 7x) = 6(x + -1) Reorder the terms: -63 + 7x = 6(-1 + x) -63 + 7x = (-1 * 6 + x * 6) -63 + 7x = (-6 + 6x) Solving -63 + 7x = -6 + 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 = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x -63 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -63 + 1x = -6 + 0 -63 + 1x = -6 Add '63' to each side of the equation. -63 + 63 + 1x = -6 + 63 Combine like terms: -63 + 63 = 0 0 + 1x = -6 + 63 1x = -6 + 63 Combine like terms: -6 + 63 = 57 1x = 57 Divide each side by '1'. x = 57 Simplifying x = 57
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