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Simplifying 20 + -1x = 120 + x(6) + x(1) Reorder the terms for easier multiplication: 20 + -1x = 120 + 6x + x(1) Reorder the terms for easier multiplication: 20 + -1x = 120 + 6x + 1x Combine like terms: 6x + 1x = 7x 20 + -1x = 120 + 7x Solving 20 + -1x = 120 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + -1x + -7x = 120 + 7x + -7x Combine like terms: -1x + -7x = -8x 20 + -8x = 120 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -8x = 120 + 0 20 + -8x = 120 Add '-20' to each side of the equation. 20 + -20 + -8x = 120 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 120 + -20 -8x = 120 + -20 Combine like terms: 120 + -20 = 100 -8x = 100 Divide each side by '-8'. x = -12.5 Simplifying x = -12.5
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