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Simplifying 8 + -1(5x + 1) = 4 + -1(6 + 2x) Reorder the terms: 8 + -1(1 + 5x) = 4 + -1(6 + 2x) 8 + (1 * -1 + 5x * -1) = 4 + -1(6 + 2x) 8 + (-1 + -5x) = 4 + -1(6 + 2x) Combine like terms: 8 + -1 = 7 7 + -5x = 4 + -1(6 + 2x) 7 + -5x = 4 + (6 * -1 + 2x * -1) 7 + -5x = 4 + (-6 + -2x) Combine like terms: 4 + -6 = -2 7 + -5x = -2 + -2x Solving 7 + -5x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + -5x + 2x = -2 + -2x + 2x Combine like terms: -5x + 2x = -3x 7 + -3x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + -3x = -2 + 0 7 + -3x = -2 Add '-7' to each side of the equation. 7 + -7 + -3x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -2 + -7 -3x = -2 + -7 Combine like terms: -2 + -7 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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