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Simplifying 5x + -5 + 17 + -7x = -3x + -4 + 2x + 8 Reorder the terms: -5 + 17 + 5x + -7x = -3x + -4 + 2x + 8 Combine like terms: -5 + 17 = 12 12 + 5x + -7x = -3x + -4 + 2x + 8 Combine like terms: 5x + -7x = -2x 12 + -2x = -3x + -4 + 2x + 8 Reorder the terms: 12 + -2x = -4 + 8 + -3x + 2x Combine like terms: -4 + 8 = 4 12 + -2x = 4 + -3x + 2x Combine like terms: -3x + 2x = -1x 12 + -2x = 4 + -1x Solving 12 + -2x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + -2x + x = 4 + -1x + x Combine like terms: -2x + x = -1x 12 + -1x = 4 + -1x + x Combine like terms: -1x + x = 0 12 + -1x = 4 + 0 12 + -1x = 4 Add '-12' to each side of the equation. 12 + -12 + -1x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 4 + -12 -1x = 4 + -12 Combine like terms: 4 + -12 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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