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Simplifying 4x + 14 + -3x = 7 + 3x + -5 Reorder the terms: 14 + 4x + -3x = 7 + 3x + -5 Combine like terms: 4x + -3x = 1x 14 + 1x = 7 + 3x + -5 Reorder the terms: 14 + 1x = 7 + -5 + 3x Combine like terms: 7 + -5 = 2 14 + 1x = 2 + 3x Solving 14 + 1x = 2 + 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. 14 + 1x + -3x = 2 + 3x + -3x Combine like terms: 1x + -3x = -2x 14 + -2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -2x = 2 + 0 14 + -2x = 2 Add '-14' to each side of the equation. 14 + -14 + -2x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 2 + -14 -2x = 2 + -14 Combine like terms: 2 + -14 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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