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Simplifying 4x + 6 + -2x + 1 = 8x + 1 + -1x + 8 Reorder the terms: 6 + 1 + 4x + -2x = 8x + 1 + -1x + 8 Combine like terms: 6 + 1 = 7 7 + 4x + -2x = 8x + 1 + -1x + 8 Combine like terms: 4x + -2x = 2x 7 + 2x = 8x + 1 + -1x + 8 Reorder the terms: 7 + 2x = 1 + 8 + 8x + -1x Combine like terms: 1 + 8 = 9 7 + 2x = 9 + 8x + -1x Combine like terms: 8x + -1x = 7x 7 + 2x = 9 + 7x Solving 7 + 2x = 9 + 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. 7 + 2x + -7x = 9 + 7x + -7x Combine like terms: 2x + -7x = -5x 7 + -5x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -5x = 9 + 0 7 + -5x = 9 Add '-7' to each side of the equation. 7 + -7 + -5x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 9 + -7 -5x = 9 + -7 Combine like terms: 9 + -7 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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