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Simplifying 4x + 3 + 3x + 1 = 6x + -14 + -3x + -6 Reorder the terms: 3 + 1 + 4x + 3x = 6x + -14 + -3x + -6 Combine like terms: 3 + 1 = 4 4 + 4x + 3x = 6x + -14 + -3x + -6 Combine like terms: 4x + 3x = 7x 4 + 7x = 6x + -14 + -3x + -6 Reorder the terms: 4 + 7x = -14 + -6 + 6x + -3x Combine like terms: -14 + -6 = -20 4 + 7x = -20 + 6x + -3x Combine like terms: 6x + -3x = 3x 4 + 7x = -20 + 3x Solving 4 + 7x = -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. 4 + 7x + -3x = -20 + 3x + -3x Combine like terms: 7x + -3x = 4x 4 + 4x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 4x = -20 + 0 4 + 4x = -20 Add '-4' to each side of the equation. 4 + -4 + 4x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -20 + -4 4x = -20 + -4 Combine like terms: -20 + -4 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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