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Simplifying 4x + -5 + 1x + 17 = 6 + 6x + 14 + -3x Reorder the terms: -5 + 17 + 4x + 1x = 6 + 6x + 14 + -3x Combine like terms: -5 + 17 = 12 12 + 4x + 1x = 6 + 6x + 14 + -3x Combine like terms: 4x + 1x = 5x 12 + 5x = 6 + 6x + 14 + -3x Reorder the terms: 12 + 5x = 6 + 14 + 6x + -3x Combine like terms: 6 + 14 = 20 12 + 5x = 20 + 6x + -3x Combine like terms: 6x + -3x = 3x 12 + 5x = 20 + 3x Solving 12 + 5x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 5x + -3x = 20 + 3x + -3x Combine like terms: 5x + -3x = 2x 12 + 2x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 2x = 20 + 0 12 + 2x = 20 Add '-12' to each side of the equation. 12 + -12 + 2x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 20 + -12 2x = 20 + -12 Combine like terms: 20 + -12 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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