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Simplifying 6(x + -20) + 12x = -10x + 8 Reorder the terms: 6(-20 + x) + 12x = -10x + 8 (-20 * 6 + x * 6) + 12x = -10x + 8 (-120 + 6x) + 12x = -10x + 8 Combine like terms: 6x + 12x = 18x -120 + 18x = -10x + 8 Reorder the terms: -120 + 18x = 8 + -10x Solving -120 + 18x = 8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -120 + 18x + 10x = 8 + -10x + 10x Combine like terms: 18x + 10x = 28x -120 + 28x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -120 + 28x = 8 + 0 -120 + 28x = 8 Add '120' to each side of the equation. -120 + 120 + 28x = 8 + 120 Combine like terms: -120 + 120 = 0 0 + 28x = 8 + 120 28x = 8 + 120 Combine like terms: 8 + 120 = 128 28x = 128 Divide each side by '28'. x = 4.571428571 Simplifying x = 4.571428571
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