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Simplifying 7x + 3 + -4x + 2 = 10x + -7 + 9 + -8x Reorder the terms: 3 + 2 + 7x + -4x = 10x + -7 + 9 + -8x Combine like terms: 3 + 2 = 5 5 + 7x + -4x = 10x + -7 + 9 + -8x Combine like terms: 7x + -4x = 3x 5 + 3x = 10x + -7 + 9 + -8x Reorder the terms: 5 + 3x = -7 + 9 + 10x + -8x Combine like terms: -7 + 9 = 2 5 + 3x = 2 + 10x + -8x Combine like terms: 10x + -8x = 2x 5 + 3x = 2 + 2x Solving 5 + 3x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 2 + 0 5 + 1x = 2 Add '-5' to each side of the equation. 5 + -5 + 1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 2 + -5 1x = 2 + -5 Combine like terms: 2 + -5 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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