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Simplifying 7(x + -4) + 3 = 5x + -9 Reorder the terms: 7(-4 + x) + 3 = 5x + -9 (-4 * 7 + x * 7) + 3 = 5x + -9 (-28 + 7x) + 3 = 5x + -9 Reorder the terms: -28 + 3 + 7x = 5x + -9 Combine like terms: -28 + 3 = -25 -25 + 7x = 5x + -9 Reorder the terms: -25 + 7x = -9 + 5x Solving -25 + 7x = -9 + 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. -25 + 7x + -5x = -9 + 5x + -5x Combine like terms: 7x + -5x = 2x -25 + 2x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 2x = -9 + 0 -25 + 2x = -9 Add '25' to each side of the equation. -25 + 25 + 2x = -9 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = -9 + 25 2x = -9 + 25 Combine like terms: -9 + 25 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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