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Simplifying 3x + 5 + -2x + 4 = 7x + -1 Reorder the terms: 5 + 4 + 3x + -2x = 7x + -1 Combine like terms: 5 + 4 = 9 9 + 3x + -2x = 7x + -1 Combine like terms: 3x + -2x = 1x 9 + 1x = 7x + -1 Reorder the terms: 9 + 1x = -1 + 7x Solving 9 + 1x = -1 + 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. 9 + 1x + -7x = -1 + 7x + -7x Combine like terms: 1x + -7x = -6x 9 + -6x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -6x = -1 + 0 9 + -6x = -1 Add '-9' to each side of the equation. 9 + -9 + -6x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -1 + -9 -6x = -1 + -9 Combine like terms: -1 + -9 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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