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Simplifying 3x + 2 = 5x + -1(7x + -7) * 8 Reorder the terms: 2 + 3x = 5x + -1(7x + -7) * 8 Reorder the terms: 2 + 3x = 5x + -1(-7 + 7x) * 8 Reorder the terms for easier multiplication: 2 + 3x = 5x + -1 * 8(-7 + 7x) Multiply -1 * 8 2 + 3x = 5x + -8(-7 + 7x) 2 + 3x = 5x + (-7 * -8 + 7x * -8) 2 + 3x = 5x + (56 + -56x) Reorder the terms: 2 + 3x = 56 + 5x + -56x Combine like terms: 5x + -56x = -51x 2 + 3x = 56 + -51x Solving 2 + 3x = 56 + -51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51x' to each side of the equation. 2 + 3x + 51x = 56 + -51x + 51x Combine like terms: 3x + 51x = 54x 2 + 54x = 56 + -51x + 51x Combine like terms: -51x + 51x = 0 2 + 54x = 56 + 0 2 + 54x = 56 Add '-2' to each side of the equation. 2 + -2 + 54x = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 54x = 56 + -2 54x = 56 + -2 Combine like terms: 56 + -2 = 54 54x = 54 Divide each side by '54'. x = 1 Simplifying x = 1
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