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Simplifying 3x + 8 + -2x = 9 + 4x + -7 Reorder the terms: 8 + 3x + -2x = 9 + 4x + -7 Combine like terms: 3x + -2x = 1x 8 + 1x = 9 + 4x + -7 Reorder the terms: 8 + 1x = 9 + -7 + 4x Combine like terms: 9 + -7 = 2 8 + 1x = 2 + 4x Solving 8 + 1x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 1x + -4x = 2 + 4x + -4x Combine like terms: 1x + -4x = -3x 8 + -3x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -3x = 2 + 0 8 + -3x = 2 Add '-8' to each side of the equation. 8 + -8 + -3x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 2 + -8 -3x = 2 + -8 Combine like terms: 2 + -8 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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