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Simplifying -4x + 14 = -7x + 5x Reorder the terms: 14 + -4x = -7x + 5x Combine like terms: -7x + 5x = -2x 14 + -4x = -2x Solving 14 + -4x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + -4x + 2x = -2x + 2x Combine like terms: -4x + 2x = -2x 14 + -2x = -2x + 2x Combine like terms: -2x + 2x = 0 14 + -2x = 0 Add '-14' to each side of the equation. 14 + -14 + -2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 0 + -14 -2x = 0 + -14 Combine like terms: 0 + -14 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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