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Simplifying 9x + -1(4x + -2) = x + 20 Reorder the terms: 9x + -1(-2 + 4x) = x + 20 9x + (-2 * -1 + 4x * -1) = x + 20 9x + (2 + -4x) = x + 20 Reorder the terms: 2 + 9x + -4x = x + 20 Combine like terms: 9x + -4x = 5x 2 + 5x = x + 20 Reorder the terms: 2 + 5x = 20 + x Solving 2 + 5x = 20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 5x + -1x = 20 + x + -1x Combine like terms: 5x + -1x = 4x 2 + 4x = 20 + x + -1x Combine like terms: x + -1x = 0 2 + 4x = 20 + 0 2 + 4x = 20 Add '-2' to each side of the equation. 2 + -2 + 4x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 20 + -2 4x = 20 + -2 Combine like terms: 20 + -2 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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