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Simplifying -5x + 40 = 6x + -7 Reorder the terms: 40 + -5x = 6x + -7 Reorder the terms: 40 + -5x = -7 + 6x Solving 40 + -5x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + -5x + -6x = -7 + 6x + -6x Combine like terms: -5x + -6x = -11x 40 + -11x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -11x = -7 + 0 40 + -11x = -7 Add '-40' to each side of the equation. 40 + -40 + -11x = -7 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = -7 + -40 -11x = -7 + -40 Combine like terms: -7 + -40 = -47 -11x = -47 Divide each side by '-11'. x = 4.272727273 Simplifying x = 4.272727273
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