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Simplifying 5(x + -3) + -2(x + -7) = 14 Reorder the terms: 5(-3 + x) + -2(x + -7) = 14 (-3 * 5 + x * 5) + -2(x + -7) = 14 (-15 + 5x) + -2(x + -7) = 14 Reorder the terms: -15 + 5x + -2(-7 + x) = 14 -15 + 5x + (-7 * -2 + x * -2) = 14 -15 + 5x + (14 + -2x) = 14 Reorder the terms: -15 + 14 + 5x + -2x = 14 Combine like terms: -15 + 14 = -1 -1 + 5x + -2x = 14 Combine like terms: 5x + -2x = 3x -1 + 3x = 14 Solving -1 + 3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 14 + 1 3x = 14 + 1 Combine like terms: 14 + 1 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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