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Simplifying 3x + -4(2x + -5) = 2x + 8 Reorder the terms: 3x + -4(-5 + 2x) = 2x + 8 3x + (-5 * -4 + 2x * -4) = 2x + 8 3x + (20 + -8x) = 2x + 8 Reorder the terms: 20 + 3x + -8x = 2x + 8 Combine like terms: 3x + -8x = -5x 20 + -5x = 2x + 8 Reorder the terms: 20 + -5x = 8 + 2x Solving 20 + -5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + -5x + -2x = 8 + 2x + -2x Combine like terms: -5x + -2x = -7x 20 + -7x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -7x = 8 + 0 20 + -7x = 8 Add '-20' to each side of the equation. 20 + -20 + -7x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 8 + -20 -7x = 8 + -20 Combine like terms: 8 + -20 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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