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Simplifying 3x + 14 + -10 = 2x + 5x + 9 Reorder the terms: 14 + -10 + 3x = 2x + 5x + 9 Combine like terms: 14 + -10 = 4 4 + 3x = 2x + 5x + 9 Reorder the terms: 4 + 3x = 9 + 2x + 5x Combine like terms: 2x + 5x = 7x 4 + 3x = 9 + 7x Solving 4 + 3x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 3x + -7x = 9 + 7x + -7x Combine like terms: 3x + -7x = -4x 4 + -4x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -4x = 9 + 0 4 + -4x = 9 Add '-4' to each side of the equation. 4 + -4 + -4x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 9 + -4 -4x = 9 + -4 Combine like terms: 9 + -4 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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