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Simplifying 5x + -3 + 2x + -4 = 7x + -14 + 3x + 7 Reorder the terms: -3 + -4 + 5x + 2x = 7x + -14 + 3x + 7 Combine like terms: -3 + -4 = -7 -7 + 5x + 2x = 7x + -14 + 3x + 7 Combine like terms: 5x + 2x = 7x -7 + 7x = 7x + -14 + 3x + 7 Reorder the terms: -7 + 7x = -14 + 7 + 7x + 3x Combine like terms: -14 + 7 = -7 -7 + 7x = -7 + 7x + 3x Combine like terms: 7x + 3x = 10x -7 + 7x = -7 + 10x Add '7' to each side of the equation. -7 + 7 + 7x = -7 + 7 + 10x Combine like terms: -7 + 7 = 0 0 + 7x = -7 + 7 + 10x 7x = -7 + 7 + 10x Combine like terms: -7 + 7 = 0 7x = 0 + 10x 7x = 10x Solving 7x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7x + -10x = 10x + -10x Combine like terms: 7x + -10x = -3x -3x = 10x + -10x Combine like terms: 10x + -10x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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