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Simplifying 4x + -6x + 6 = 5x + 27 Reorder the terms: 6 + 4x + -6x = 5x + 27 Combine like terms: 4x + -6x = -2x 6 + -2x = 5x + 27 Reorder the terms: 6 + -2x = 27 + 5x Solving 6 + -2x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -2x + -5x = 27 + 5x + -5x Combine like terms: -2x + -5x = -7x 6 + -7x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -7x = 27 + 0 6 + -7x = 27 Add '-6' to each side of the equation. 6 + -6 + -7x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 27 + -6 -7x = 27 + -6 Combine like terms: 27 + -6 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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