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Simplifying 0.5x + -8 = 2(x + -8) Reorder the terms: -8 + 0.5x = 2(x + -8) Reorder the terms: -8 + 0.5x = 2(-8 + x) -8 + 0.5x = (-8 * 2 + x * 2) -8 + 0.5x = (-16 + 2x) Solving -8 + 0.5x = -16 + 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 + 0.5x + -2x = -16 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -8 + -1.5x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1.5x = -16 + 0 -8 + -1.5x = -16 Add '8' to each side of the equation. -8 + 8 + -1.5x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -1.5x = -16 + 8 -1.5x = -16 + 8 Combine like terms: -16 + 8 = -8 -1.5x = -8 Divide each side by '-1.5'. x = 5.333333333 Simplifying x = 5.333333333
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