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Simplifying 4x + -1(x + -6) = 5(3x + -1) + 8 Reorder the terms: 4x + -1(-6 + x) = 5(3x + -1) + 8 4x + (-6 * -1 + x * -1) = 5(3x + -1) + 8 4x + (6 + -1x) = 5(3x + -1) + 8 Reorder the terms: 6 + 4x + -1x = 5(3x + -1) + 8 Combine like terms: 4x + -1x = 3x 6 + 3x = 5(3x + -1) + 8 Reorder the terms: 6 + 3x = 5(-1 + 3x) + 8 6 + 3x = (-1 * 5 + 3x * 5) + 8 6 + 3x = (-5 + 15x) + 8 Reorder the terms: 6 + 3x = -5 + 8 + 15x Combine like terms: -5 + 8 = 3 6 + 3x = 3 + 15x Solving 6 + 3x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 3x + -15x = 3 + 15x + -15x Combine like terms: 3x + -15x = -12x 6 + -12x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -12x = 3 + 0 6 + -12x = 3 Add '-6' to each side of the equation. 6 + -6 + -12x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 3 + -6 -12x = 3 + -6 Combine like terms: 3 + -6 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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