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Simplifying 5(x + -7) + 14 = 3(x + -5) Reorder the terms: 5(-7 + x) + 14 = 3(x + -5) (-7 * 5 + x * 5) + 14 = 3(x + -5) (-35 + 5x) + 14 = 3(x + -5) Reorder the terms: -35 + 14 + 5x = 3(x + -5) Combine like terms: -35 + 14 = -21 -21 + 5x = 3(x + -5) Reorder the terms: -21 + 5x = 3(-5 + x) -21 + 5x = (-5 * 3 + x * 3) -21 + 5x = (-15 + 3x) Solving -21 + 5x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -21 + 5x + -3x = -15 + 3x + -3x Combine like terms: 5x + -3x = 2x -21 + 2x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 2x = -15 + 0 -21 + 2x = -15 Add '21' to each side of the equation. -21 + 21 + 2x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -15 + 21 2x = -15 + 21 Combine like terms: -15 + 21 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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