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Simplifying 9(x + -7) = -3(x + 5) Reorder the terms: 9(-7 + x) = -3(x + 5) (-7 * 9 + x * 9) = -3(x + 5) (-63 + 9x) = -3(x + 5) Reorder the terms: -63 + 9x = -3(5 + x) -63 + 9x = (5 * -3 + x * -3) -63 + 9x = (-15 + -3x) Solving -63 + 9x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -63 + 9x + 3x = -15 + -3x + 3x Combine like terms: 9x + 3x = 12x -63 + 12x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 -63 + 12x = -15 + 0 -63 + 12x = -15 Add '63' to each side of the equation. -63 + 63 + 12x = -15 + 63 Combine like terms: -63 + 63 = 0 0 + 12x = -15 + 63 12x = -15 + 63 Combine like terms: -15 + 63 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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