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Simplifying 3x + -1(4x + -8 + 8x) = 4x + -5 Reorder the terms: 3x + -1(-8 + 4x + 8x) = 4x + -5 Combine like terms: 4x + 8x = 12x 3x + -1(-8 + 12x) = 4x + -5 3x + (-8 * -1 + 12x * -1) = 4x + -5 3x + (8 + -12x) = 4x + -5 Reorder the terms: 8 + 3x + -12x = 4x + -5 Combine like terms: 3x + -12x = -9x 8 + -9x = 4x + -5 Reorder the terms: 8 + -9x = -5 + 4x Solving 8 + -9x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -9x + -4x = -5 + 4x + -4x Combine like terms: -9x + -4x = -13x 8 + -13x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -13x = -5 + 0 8 + -13x = -5 Add '-8' to each side of the equation. 8 + -8 + -13x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = -5 + -8 -13x = -5 + -8 Combine like terms: -5 + -8 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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