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Simplifying 4x + 8 + 5x + -1x + 4 = 7x + -5 Reorder the terms: 8 + 4 + 4x + 5x + -1x = 7x + -5 Combine like terms: 8 + 4 = 12 12 + 4x + 5x + -1x = 7x + -5 Combine like terms: 4x + 5x = 9x 12 + 9x + -1x = 7x + -5 Combine like terms: 9x + -1x = 8x 12 + 8x = 7x + -5 Reorder the terms: 12 + 8x = -5 + 7x Solving 12 + 8x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 8x + -7x = -5 + 7x + -7x Combine like terms: 8x + -7x = 1x 12 + 1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 1x = -5 + 0 12 + 1x = -5 Add '-12' to each side of the equation. 12 + -12 + 1x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -5 + -12 1x = -5 + -12 Combine like terms: -5 + -12 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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