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Simplifying 9(x + -7) = 2(x + -6) Reorder the terms: 9(-7 + x) = 2(x + -6) (-7 * 9 + x * 9) = 2(x + -6) (-63 + 9x) = 2(x + -6) Reorder the terms: -63 + 9x = 2(-6 + x) -63 + 9x = (-6 * 2 + x * 2) -63 + 9x = (-12 + 2x) Solving -63 + 9x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -63 + 9x + -2x = -12 + 2x + -2x Combine like terms: 9x + -2x = 7x -63 + 7x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -63 + 7x = -12 + 0 -63 + 7x = -12 Add '63' to each side of the equation. -63 + 63 + 7x = -12 + 63 Combine like terms: -63 + 63 = 0 0 + 7x = -12 + 63 7x = -12 + 63 Combine like terms: -12 + 63 = 51 7x = 51 Divide each side by '7'. x = 7.285714286 Simplifying x = 7.285714286
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