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Simplifying 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 = -13x 14 + -13x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -13x = -35 + 0 14 + -13x = -35 Add '-14' to each side of the equation. 14 + -14 + -13x = -35 + -14 Combine like terms: 14 + -14 = 0 0 + -13x = -35 + -14 -13x = -35 + -14 Combine like terms: -35 + -14 = -49 -13x = -49 Divide each side by '-13'. x = 3.769230769 Simplifying x = 3.769230769
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