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