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Simplifying (3x + -1) + 7 = 8x + -1(3 + -2x) Reorder the terms: (-1 + 3x) + 7 = 8x + -1(3 + -2x) Remove parenthesis around (-1 + 3x) -1 + 3x + 7 = 8x + -1(3 + -2x) Reorder the terms: -1 + 7 + 3x = 8x + -1(3 + -2x) Combine like terms: -1 + 7 = 6 6 + 3x = 8x + -1(3 + -2x) 6 + 3x = 8x + (3 * -1 + -2x * -1) 6 + 3x = 8x + (-3 + 2x) Reorder the terms: 6 + 3x = -3 + 8x + 2x Combine like terms: 8x + 2x = 10x 6 + 3x = -3 + 10x Solving 6 + 3x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 3x + -10x = -3 + 10x + -10x Combine like terms: 3x + -10x = -7x 6 + -7x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -7x = -3 + 0 6 + -7x = -3 Add '-6' to each side of the equation. 6 + -6 + -7x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -3 + -6 -7x = -3 + -6 Combine like terms: -3 + -6 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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