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Simplifying 20x + 7x + -7 = -23(1 + -1x) Reorder the terms: -7 + 20x + 7x = -23(1 + -1x) Combine like terms: 20x + 7x = 27x -7 + 27x = -23(1 + -1x) -7 + 27x = (1 * -23 + -1x * -23) -7 + 27x = (-23 + 23x) Solving -7 + 27x = -23 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -7 + 27x + -23x = -23 + 23x + -23x Combine like terms: 27x + -23x = 4x -7 + 4x = -23 + 23x + -23x Combine like terms: 23x + -23x = 0 -7 + 4x = -23 + 0 -7 + 4x = -23 Add '7' to each side of the equation. -7 + 7 + 4x = -23 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -23 + 7 4x = -23 + 7 Combine like terms: -23 + 7 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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