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Simplifying 5x + 7 = 3x + 22 + -1x + 18 Reorder the terms: 7 + 5x = 3x + 22 + -1x + 18 Reorder the terms: 7 + 5x = 22 + 18 + 3x + -1x Combine like terms: 22 + 18 = 40 7 + 5x = 40 + 3x + -1x Combine like terms: 3x + -1x = 2x 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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