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Simplifying -6x + 7 = 7x + -45 Reorder the terms: 7 + -6x = 7x + -45 Reorder the terms: 7 + -6x = -45 + 7x Solving 7 + -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. 7 + -6x + -7x = -45 + 7x + -7x Combine like terms: -6x + -7x = -13x 7 + -13x = -45 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -13x = -45 + 0 7 + -13x = -45 Add '-7' to each side of the equation. 7 + -7 + -13x = -45 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = -45 + -7 -13x = -45 + -7 Combine like terms: -45 + -7 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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