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Simplifying -5x + 7 = -2x + 40 Reorder the terms: 7 + -5x = -2x + 40 Reorder the terms: 7 + -5x = 40 + -2x Solving 7 + -5x = 40 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + -5x + 2x = 40 + -2x + 2x Combine like terms: -5x + 2x = -3x 7 + -3x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + -3x = 40 + 0 7 + -3x = 40 Add '-7' to each side of the equation. 7 + -7 + -3x = 40 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 40 + -7 -3x = 40 + -7 Combine like terms: 40 + -7 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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