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Simplifying 7 + 4x + -1 = 8x + 10 + -3x Reorder the terms: 7 + -1 + 4x = 8x + 10 + -3x Combine like terms: 7 + -1 = 6 6 + 4x = 8x + 10 + -3x Reorder the terms: 6 + 4x = 10 + 8x + -3x Combine like terms: 8x + -3x = 5x 6 + 4x = 10 + 5x Solving 6 + 4x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 4x + -5x = 10 + 5x + -5x Combine like terms: 4x + -5x = -1x 6 + -1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -1x = 10 + 0 6 + -1x = 10 Add '-6' to each side of the equation. 6 + -6 + -1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 10 + -6 -1x = 10 + -6 Combine like terms: 10 + -6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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