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Simplifying 7x + -3 = 5(x + -9) Reorder the terms: -3 + 7x = 5(x + -9) Reorder the terms: -3 + 7x = 5(-9 + x) -3 + 7x = (-9 * 5 + x * 5) -3 + 7x = (-45 + 5x) Solving -3 + 7x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 7x + -5x = -45 + 5x + -5x Combine like terms: 7x + -5x = 2x -3 + 2x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 2x = -45 + 0 -3 + 2x = -45 Add '3' to each side of the equation. -3 + 3 + 2x = -45 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -45 + 3 2x = -45 + 3 Combine like terms: -45 + 3 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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