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Simplifying 6 + -3x + 1 = 14 + -6x + 2x Reorder the terms: 6 + 1 + -3x = 14 + -6x + 2x Combine like terms: 6 + 1 = 7 7 + -3x = 14 + -6x + 2x Combine like terms: -6x + 2x = -4x 7 + -3x = 14 + -4x Solving 7 + -3x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -3x + 4x = 14 + -4x + 4x Combine like terms: -3x + 4x = 1x 7 + 1x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 1x = 14 + 0 7 + 1x = 14 Add '-7' to each side of the equation. 7 + -7 + 1x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 14 + -7 1x = 14 + -7 Combine like terms: 14 + -7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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