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Simplifying 3x + -1 = 7 + -1(8 + 3x) Reorder the terms: -1 + 3x = 7 + -1(8 + 3x) -1 + 3x = 7 + (8 * -1 + 3x * -1) -1 + 3x = 7 + (-8 + -3x) Combine like terms: 7 + -8 = -1 -1 + 3x = -1 + -3x Add '1' to each side of the equation. -1 + 1 + 3x = -1 + 1 + -3x Combine like terms: -1 + 1 = 0 0 + 3x = -1 + 1 + -3x 3x = -1 + 1 + -3x Combine like terms: -1 + 1 = 0 3x = 0 + -3x 3x = -3x Solving 3x = -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. 3x + 3x = -3x + 3x Combine like terms: 3x + 3x = 6x 6x = -3x + 3x Combine like terms: -3x + 3x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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