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Simplifying 3x + 14 = 10x + -7 Reorder the terms: 14 + 3x = 10x + -7 Reorder the terms: 14 + 3x = -7 + 10x Solving 14 + 3x = -7 + 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. 14 + 3x + -10x = -7 + 10x + -10x Combine like terms: 3x + -10x = -7x 14 + -7x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -7x = -7 + 0 14 + -7x = -7 Add '-14' to each side of the equation. 14 + -14 + -7x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -7 + -14 -7x = -7 + -14 Combine like terms: -7 + -14 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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