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Simplifying 9(x + -7) = 12x + -1(7 + -1x) Reorder the terms: 9(-7 + x) = 12x + -1(7 + -1x) (-7 * 9 + x * 9) = 12x + -1(7 + -1x) (-63 + 9x) = 12x + -1(7 + -1x) -63 + 9x = 12x + (7 * -1 + -1x * -1) -63 + 9x = 12x + (-7 + 1x) Reorder the terms: -63 + 9x = -7 + 12x + 1x Combine like terms: 12x + 1x = 13x -63 + 9x = -7 + 13x Solving -63 + 9x = -7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -63 + 9x + -13x = -7 + 13x + -13x Combine like terms: 9x + -13x = -4x -63 + -4x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 -63 + -4x = -7 + 0 -63 + -4x = -7 Add '63' to each side of the equation. -63 + 63 + -4x = -7 + 63 Combine like terms: -63 + 63 = 0 0 + -4x = -7 + 63 -4x = -7 + 63 Combine like terms: -7 + 63 = 56 -4x = 56 Divide each side by '-4'. x = -14 Simplifying x = -14
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