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Simplifying 0.5(6x + -8) + 2x = -1x + -16 Reorder the terms: 0.5(-8 + 6x) + 2x = -1x + -16 (-8 * 0.5 + 6x * 0.5) + 2x = -1x + -16 (-4 + 3x) + 2x = -1x + -16 Combine like terms: 3x + 2x = 5x -4 + 5x = -1x + -16 Reorder the terms: -4 + 5x = -16 + -1x Solving -4 + 5x = -16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 5x + x = -16 + -1x + x Combine like terms: 5x + x = 6x -4 + 6x = -16 + -1x + x Combine like terms: -1x + x = 0 -4 + 6x = -16 + 0 -4 + 6x = -16 Add '4' to each side of the equation. -4 + 4 + 6x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -16 + 4 6x = -16 + 4 Combine like terms: -16 + 4 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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