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Simplifying 4(2 + x) = 7 + -1(3x + -1) (2 * 4 + x * 4) = 7 + -1(3x + -1) (8 + 4x) = 7 + -1(3x + -1) Reorder the terms: 8 + 4x = 7 + -1(-1 + 3x) 8 + 4x = 7 + (-1 * -1 + 3x * -1) 8 + 4x = 7 + (1 + -3x) Combine like terms: 7 + 1 = 8 8 + 4x = 8 + -3x Add '-8' to each side of the equation. 8 + -8 + 4x = 8 + -8 + -3x Combine like terms: 8 + -8 = 0 0 + 4x = 8 + -8 + -3x 4x = 8 + -8 + -3x Combine like terms: 8 + -8 = 0 4x = 0 + -3x 4x = -3x Solving 4x = -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. 4x + 3x = -3x + 3x Combine like terms: 4x + 3x = 7x 7x = -3x + 3x Combine like terms: -3x + 3x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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