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Simplifying 4x + 7 + -2x = 3x + -1 Reorder the terms: 7 + 4x + -2x = 3x + -1 Combine like terms: 4x + -2x = 2x 7 + 2x = 3x + -1 Reorder the terms: 7 + 2x = -1 + 3x Solving 7 + 2x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 2x + -3x = -1 + 3x + -3x Combine like terms: 2x + -3x = -1x 7 + -1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -1x = -1 + 0 7 + -1x = -1 Add '-7' to each side of the equation. 7 + -7 + -1x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -1 + -7 -1x = -1 + -7 Combine like terms: -1 + -7 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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