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Simplifying 0.5(6x + -8) + 8 = 4x + -10 Reorder the terms: 0.5(-8 + 6x) + 8 = 4x + -10 (-8 * 0.5 + 6x * 0.5) + 8 = 4x + -10 (-4 + 3x) + 8 = 4x + -10 Reorder the terms: -4 + 8 + 3x = 4x + -10 Combine like terms: -4 + 8 = 4 4 + 3x = 4x + -10 Reorder the terms: 4 + 3x = -10 + 4x Solving 4 + 3x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x 4 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = -10 + 0 4 + -1x = -10 Add '-4' to each side of the equation. 4 + -4 + -1x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -10 + -4 -1x = -10 + -4 Combine like terms: -10 + -4 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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