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Simplifying 2x + 7 + -3x = -4x + 2 + 8 Reorder the terms: 7 + 2x + -3x = -4x + 2 + 8 Combine like terms: 2x + -3x = -1x 7 + -1x = -4x + 2 + 8 Reorder the terms: 7 + -1x = 2 + 8 + -4x Combine like terms: 2 + 8 = 10 7 + -1x = 10 + -4x Solving 7 + -1x = 10 + -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. 7 + -1x + 4x = 10 + -4x + 4x Combine like terms: -1x + 4x = 3x 7 + 3x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 3x = 10 + 0 7 + 3x = 10 Add '-7' to each side of the equation. 7 + -7 + 3x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 10 + -7 3x = 10 + -7 Combine like terms: 10 + -7 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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