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Simplifying 3(x + -7) + 4(x + 5) = 5x + 5 Reorder the terms: 3(-7 + x) + 4(x + 5) = 5x + 5 (-7 * 3 + x * 3) + 4(x + 5) = 5x + 5 (-21 + 3x) + 4(x + 5) = 5x + 5 Reorder the terms: -21 + 3x + 4(5 + x) = 5x + 5 -21 + 3x + (5 * 4 + x * 4) = 5x + 5 -21 + 3x + (20 + 4x) = 5x + 5 Reorder the terms: -21 + 20 + 3x + 4x = 5x + 5 Combine like terms: -21 + 20 = -1 -1 + 3x + 4x = 5x + 5 Combine like terms: 3x + 4x = 7x -1 + 7x = 5x + 5 Reorder the terms: -1 + 7x = 5 + 5x Solving -1 + 7x = 5 + 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. -1 + 7x + -5x = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x -1 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 2x = 5 + 0 -1 + 2x = 5 Add '1' to each side of the equation. -1 + 1 + 2x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 5 + 1 2x = 5 + 1 Combine like terms: 5 + 1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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