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Simplifying 6x + 1 + -1(x + -7) = 6 + -2(5 + -4x) Reorder the terms: 6x + 1 + -1(-7 + x) = 6 + -2(5 + -4x) 6x + 1 + (-7 * -1 + x * -1) = 6 + -2(5 + -4x) 6x + 1 + (7 + -1x) = 6 + -2(5 + -4x) Reorder the terms: 1 + 7 + 6x + -1x = 6 + -2(5 + -4x) Combine like terms: 1 + 7 = 8 8 + 6x + -1x = 6 + -2(5 + -4x) Combine like terms: 6x + -1x = 5x 8 + 5x = 6 + -2(5 + -4x) 8 + 5x = 6 + (5 * -2 + -4x * -2) 8 + 5x = 6 + (-10 + 8x) Combine like terms: 6 + -10 = -4 8 + 5x = -4 + 8x Solving 8 + 5x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 5x + -8x = -4 + 8x + -8x Combine like terms: 5x + -8x = -3x 8 + -3x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -3x = -4 + 0 8 + -3x = -4 Add '-8' to each side of the equation. 8 + -8 + -3x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -4 + -8 -3x = -4 + -8 Combine like terms: -4 + -8 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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