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Simplifying 9(x + -7) = -3(x + 53) Reorder the terms: 9(-7 + x) = -3(x + 53) (-7 * 9 + x * 9) = -3(x + 53) (-63 + 9x) = -3(x + 53) Reorder the terms: -63 + 9x = -3(53 + x) -63 + 9x = (53 * -3 + x * -3) -63 + 9x = (-159 + -3x) Solving -63 + 9x = -159 + -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 = -159 + -3x + 3x Combine like terms: 9x + 3x = 12x -63 + 12x = -159 + -3x + 3x Combine like terms: -3x + 3x = 0 -63 + 12x = -159 + 0 -63 + 12x = -159 Add '63' to each side of the equation. -63 + 63 + 12x = -159 + 63 Combine like terms: -63 + 63 = 0 0 + 12x = -159 + 63 12x = -159 + 63 Combine like terms: -159 + 63 = -96 12x = -96 Divide each side by '12'. x = -8 Simplifying x = -8
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