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Simplifying 7x + -5(5 + -6x) = 3(x + 4) + -3 7x + (5 * -5 + -6x * -5) = 3(x + 4) + -3 7x + (-25 + 30x) = 3(x + 4) + -3 Reorder the terms: -25 + 7x + 30x = 3(x + 4) + -3 Combine like terms: 7x + 30x = 37x -25 + 37x = 3(x + 4) + -3 Reorder the terms: -25 + 37x = 3(4 + x) + -3 -25 + 37x = (4 * 3 + x * 3) + -3 -25 + 37x = (12 + 3x) + -3 Reorder the terms: -25 + 37x = 12 + -3 + 3x Combine like terms: 12 + -3 = 9 -25 + 37x = 9 + 3x Solving -25 + 37x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 37x + -3x = 9 + 3x + -3x Combine like terms: 37x + -3x = 34x -25 + 34x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 34x = 9 + 0 -25 + 34x = 9 Add '25' to each side of the equation. -25 + 25 + 34x = 9 + 25 Combine like terms: -25 + 25 = 0 0 + 34x = 9 + 25 34x = 9 + 25 Combine like terms: 9 + 25 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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