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Simplifying (14x + -5) + -1(18x + -4) = -21 Reorder the terms: (-5 + 14x) + -1(18x + -4) = -21 Remove parenthesis around (-5 + 14x) -5 + 14x + -1(18x + -4) = -21 Reorder the terms: -5 + 14x + -1(-4 + 18x) = -21 -5 + 14x + (-4 * -1 + 18x * -1) = -21 -5 + 14x + (4 + -18x) = -21 Reorder the terms: -5 + 4 + 14x + -18x = -21 Combine like terms: -5 + 4 = -1 -1 + 14x + -18x = -21 Combine like terms: 14x + -18x = -4x -1 + -4x = -21 Solving -1 + -4x = -21 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 + -4x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -21 + 1 -4x = -21 + 1 Combine like terms: -21 + 1 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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