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Simplifying x + -2x + 3 = 8x + 3 + -1x + 4 Reorder the terms: 3 + x + -2x = 8x + 3 + -1x + 4 Combine like terms: x + -2x = -1x 3 + -1x = 8x + 3 + -1x + 4 Reorder the terms: 3 + -1x = 3 + 4 + 8x + -1x Combine like terms: 3 + 4 = 7 3 + -1x = 7 + 8x + -1x Combine like terms: 8x + -1x = 7x 3 + -1x = 7 + 7x Solving 3 + -1x = 7 + 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. 3 + -1x + -7x = 7 + 7x + -7x Combine like terms: -1x + -7x = -8x 3 + -8x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -8x = 7 + 0 3 + -8x = 7 Add '-3' to each side of the equation. 3 + -3 + -8x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 7 + -3 -8x = 7 + -3 Combine like terms: 7 + -3 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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