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Simplifying 3x + -2(4x + -10) = 0.5(6x + -8) Reorder the terms: 3x + -2(-10 + 4x) = 0.5(6x + -8) 3x + (-10 * -2 + 4x * -2) = 0.5(6x + -8) 3x + (20 + -8x) = 0.5(6x + -8) Reorder the terms: 20 + 3x + -8x = 0.5(6x + -8) Combine like terms: 3x + -8x = -5x 20 + -5x = 0.5(6x + -8) Reorder the terms: 20 + -5x = 0.5(-8 + 6x) 20 + -5x = (-8 * 0.5 + 6x * 0.5) 20 + -5x = (-4 + 3x) Solving 20 + -5x = -4 + 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. 20 + -5x + -3x = -4 + 3x + -3x Combine like terms: -5x + -3x = -8x 20 + -8x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -8x = -4 + 0 20 + -8x = -4 Add '-20' to each side of the equation. 20 + -20 + -8x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -4 + -20 -8x = -4 + -20 Combine like terms: -4 + -20 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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