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Simplifying 4x + -27 = 7x + 45 Reorder the terms: -27 + 4x = 7x + 45 Reorder the terms: -27 + 4x = 45 + 7x Solving -27 + 4x = 45 + 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. -27 + 4x + -7x = 45 + 7x + -7x Combine like terms: 4x + -7x = -3x -27 + -3x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + -3x = 45 + 0 -27 + -3x = 45 Add '27' to each side of the equation. -27 + 27 + -3x = 45 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = 45 + 27 -3x = 45 + 27 Combine like terms: 45 + 27 = 72 -3x = 72 Divide each side by '-3'. x = -24 Simplifying x = -24
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