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Simplifying 5(x + -9) = 7(x + -3) Reorder the terms: 5(-9 + x) = 7(x + -3) (-9 * 5 + x * 5) = 7(x + -3) (-45 + 5x) = 7(x + -3) Reorder the terms: -45 + 5x = 7(-3 + x) -45 + 5x = (-3 * 7 + x * 7) -45 + 5x = (-21 + 7x) Solving -45 + 5x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -45 + 5x + -7x = -21 + 7x + -7x Combine like terms: 5x + -7x = -2x -45 + -2x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + -2x = -21 + 0 -45 + -2x = -21 Add '45' to each side of the equation. -45 + 45 + -2x = -21 + 45 Combine like terms: -45 + 45 = 0 0 + -2x = -21 + 45 -2x = -21 + 45 Combine like terms: -21 + 45 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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