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Simplifying 12x + -1(6 + 8x) = 0.5(6x + -10) 12x + (6 * -1 + 8x * -1) = 0.5(6x + -10) 12x + (-6 + -8x) = 0.5(6x + -10) Reorder the terms: -6 + 12x + -8x = 0.5(6x + -10) Combine like terms: 12x + -8x = 4x -6 + 4x = 0.5(6x + -10) Reorder the terms: -6 + 4x = 0.5(-10 + 6x) -6 + 4x = (-10 * 0.5 + 6x * 0.5) -6 + 4x = (-5 + 3x) Solving -6 + 4x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 4x + -3x = -5 + 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = -5 + 0 -6 + 1x = -5 Add '6' to each side of the equation. -6 + 6 + 1x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -5 + 6 1x = -5 + 6 Combine like terms: -5 + 6 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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