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Simplifying 4(2 + -1x) = 5x + -1(3x + 8) (2 * 4 + -1x * 4) = 5x + -1(3x + 8) (8 + -4x) = 5x + -1(3x + 8) Reorder the terms: 8 + -4x = 5x + -1(8 + 3x) 8 + -4x = 5x + (8 * -1 + 3x * -1) 8 + -4x = 5x + (-8 + -3x) Reorder the terms: 8 + -4x = -8 + 5x + -3x Combine like terms: 5x + -3x = 2x 8 + -4x = -8 + 2x Solving 8 + -4x = -8 + 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. 8 + -4x + -2x = -8 + 2x + -2x Combine like terms: -4x + -2x = -6x 8 + -6x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -6x = -8 + 0 8 + -6x = -8 Add '-8' to each side of the equation. 8 + -8 + -6x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -8 + -8 -6x = -8 + -8 Combine like terms: -8 + -8 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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