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Simplifying -6x + 6 = 7x + 45 Reorder the terms: 6 + -6x = 7x + 45 Reorder the terms: 6 + -6x = 45 + 7x Solving 6 + -6x = 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. 6 + -6x + -7x = 45 + 7x + -7x Combine like terms: -6x + -7x = -13x 6 + -13x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -13x = 45 + 0 6 + -13x = 45 Add '-6' to each side of the equation. 6 + -6 + -13x = 45 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 45 + -6 -13x = 45 + -6 Combine like terms: 45 + -6 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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