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Simplifying 2x + 7 = 5(x + -7) Reorder the terms: 7 + 2x = 5(x + -7) Reorder the terms: 7 + 2x = 5(-7 + x) 7 + 2x = (-7 * 5 + x * 5) 7 + 2x = (-35 + 5x) Solving 7 + 2x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 2x + -5x = -35 + 5x + -5x Combine like terms: 2x + -5x = -3x 7 + -3x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -3x = -35 + 0 7 + -3x = -35 Add '-7' to each side of the equation. 7 + -7 + -3x = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -35 + -7 -3x = -35 + -7 Combine like terms: -35 + -7 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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