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Simplifying 5(x + -20) + -14x = -3x + -1(5 + -4x) Reorder the terms: 5(-20 + x) + -14x = -3x + -1(5 + -4x) (-20 * 5 + x * 5) + -14x = -3x + -1(5 + -4x) (-100 + 5x) + -14x = -3x + -1(5 + -4x) Combine like terms: 5x + -14x = -9x -100 + -9x = -3x + -1(5 + -4x) -100 + -9x = -3x + (5 * -1 + -4x * -1) -100 + -9x = -3x + (-5 + 4x) Reorder the terms: -100 + -9x = -5 + -3x + 4x Combine like terms: -3x + 4x = 1x -100 + -9x = -5 + 1x Solving -100 + -9x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -100 + -9x + -1x = -5 + 1x + -1x Combine like terms: -9x + -1x = -10x -100 + -10x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -100 + -10x = -5 + 0 -100 + -10x = -5 Add '100' to each side of the equation. -100 + 100 + -10x = -5 + 100 Combine like terms: -100 + 100 = 0 0 + -10x = -5 + 100 -10x = -5 + 100 Combine like terms: -5 + 100 = 95 -10x = 95 Divide each side by '-10'. x = -9.5 Simplifying x = -9.5
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