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Simplifying 3(x + -5) = 9(x + -7) Reorder the terms: 3(-5 + x) = 9(x + -7) (-5 * 3 + x * 3) = 9(x + -7) (-15 + 3x) = 9(x + -7) Reorder the terms: -15 + 3x = 9(-7 + x) -15 + 3x = (-7 * 9 + x * 9) -15 + 3x = (-63 + 9x) Solving -15 + 3x = -63 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + 3x + -9x = -63 + 9x + -9x Combine like terms: 3x + -9x = -6x -15 + -6x = -63 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -6x = -63 + 0 -15 + -6x = -63 Add '15' to each side of the equation. -15 + 15 + -6x = -63 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -63 + 15 -6x = -63 + 15 Combine like terms: -63 + 15 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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