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Simplifying 3(x + -7) + -1(5x + -11) = 14 Reorder the terms: 3(-7 + x) + -1(5x + -11) = 14 (-7 * 3 + x * 3) + -1(5x + -11) = 14 (-21 + 3x) + -1(5x + -11) = 14 Reorder the terms: -21 + 3x + -1(-11 + 5x) = 14 -21 + 3x + (-11 * -1 + 5x * -1) = 14 -21 + 3x + (11 + -5x) = 14 Reorder the terms: -21 + 11 + 3x + -5x = 14 Combine like terms: -21 + 11 = -10 -10 + 3x + -5x = 14 Combine like terms: 3x + -5x = -2x -10 + -2x = 14 Solving -10 + -2x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 14 + 10 -2x = 14 + 10 Combine like terms: 14 + 10 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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