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Simplifying 4x + 8 + -3x = 6x + -6 + -5 + 14 Reorder the terms: 8 + 4x + -3x = 6x + -6 + -5 + 14 Combine like terms: 4x + -3x = 1x 8 + 1x = 6x + -6 + -5 + 14 Reorder the terms: 8 + 1x = -6 + -5 + 14 + 6x Combine like terms: -6 + -5 = -11 8 + 1x = -11 + 14 + 6x Combine like terms: -11 + 14 = 3 8 + 1x = 3 + 6x Solving 8 + 1x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 1x + -6x = 3 + 6x + -6x Combine like terms: 1x + -6x = -5x 8 + -5x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -5x = 3 + 0 8 + -5x = 3 Add '-8' to each side of the equation. 8 + -8 + -5x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 3 + -8 -5x = 3 + -8 Combine like terms: 3 + -8 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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