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Simplifying 0.5(10x + -16) = -2x + 7 + 12x Reorder the terms: 0.5(-16 + 10x) = -2x + 7 + 12x (-16 * 0.5 + 10x * 0.5) = -2x + 7 + 12x (-8 + 5x) = -2x + 7 + 12x Reorder the terms: -8 + 5x = 7 + -2x + 12x Combine like terms: -2x + 12x = 10x -8 + 5x = 7 + 10x Solving -8 + 5x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 5x + -10x = 7 + 10x + -10x Combine like terms: 5x + -10x = -5x -8 + -5x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -5x = 7 + 0 -8 + -5x = 7 Add '8' to each side of the equation. -8 + 8 + -5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 7 + 8 -5x = 7 + 8 Combine like terms: 7 + 8 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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