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Simplifying 3x + -14 = 5(2x + -7) Reorder the terms: -14 + 3x = 5(2x + -7) Reorder the terms: -14 + 3x = 5(-7 + 2x) -14 + 3x = (-7 * 5 + 2x * 5) -14 + 3x = (-35 + 10x) Solving -14 + 3x = -35 + 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 = -35 + 10x + -10x Combine like terms: 3x + -10x = -7x -14 + -7x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -7x = -35 + 0 -14 + -7x = -35 Add '14' to each side of the equation. -14 + 14 + -7x = -35 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = -35 + 14 -7x = -35 + 14 Combine like terms: -35 + 14 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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