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Simplifying 5x + 5 = 3x + 7(-5x + 6) Reorder the terms: 5 + 5x = 3x + 7(-5x + 6) Reorder the terms: 5 + 5x = 3x + 7(6 + -5x) 5 + 5x = 3x + (6 * 7 + -5x * 7) 5 + 5x = 3x + (42 + -35x) Reorder the terms: 5 + 5x = 42 + 3x + -35x Combine like terms: 3x + -35x = -32x 5 + 5x = 42 + -32x Solving 5 + 5x = 42 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 5 + 5x + 32x = 42 + -32x + 32x Combine like terms: 5x + 32x = 37x 5 + 37x = 42 + -32x + 32x Combine like terms: -32x + 32x = 0 5 + 37x = 42 + 0 5 + 37x = 42 Add '-5' to each side of the equation. 5 + -5 + 37x = 42 + -5 Combine like terms: 5 + -5 = 0 0 + 37x = 42 + -5 37x = 42 + -5 Combine like terms: 42 + -5 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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