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Simplifying 5x + 2 + -2x + 3 = 7x + 2 + -1x + 5 Reorder the terms: 2 + 3 + 5x + -2x = 7x + 2 + -1x + 5 Combine like terms: 2 + 3 = 5 5 + 5x + -2x = 7x + 2 + -1x + 5 Combine like terms: 5x + -2x = 3x 5 + 3x = 7x + 2 + -1x + 5 Reorder the terms: 5 + 3x = 2 + 5 + 7x + -1x Combine like terms: 2 + 5 = 7 5 + 3x = 7 + 7x + -1x Combine like terms: 7x + -1x = 6x 5 + 3x = 7 + 6x Solving 5 + 3x = 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. 5 + 3x + -6x = 7 + 6x + -6x Combine like terms: 3x + -6x = -3x 5 + -3x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -3x = 7 + 0 5 + -3x = 7 Add '-5' to each side of the equation. 5 + -5 + -3x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 7 + -5 -3x = 7 + -5 Combine like terms: 7 + -5 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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