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Simplifying 5(x + -2) + -14x = -3x + -1(5 + -4x) Reorder the terms: 5(-2 + x) + -14x = -3x + -1(5 + -4x) (-2 * 5 + x * 5) + -14x = -3x + -1(5 + -4x) (-10 + 5x) + -14x = -3x + -1(5 + -4x) Combine like terms: 5x + -14x = -9x -10 + -9x = -3x + -1(5 + -4x) -10 + -9x = -3x + (5 * -1 + -4x * -1) -10 + -9x = -3x + (-5 + 4x) Reorder the terms: -10 + -9x = -5 + -3x + 4x Combine like terms: -3x + 4x = 1x -10 + -9x = -5 + 1x Solving -10 + -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. -10 + -9x + -1x = -5 + 1x + -1x Combine like terms: -9x + -1x = -10x -10 + -10x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + -10x = -5 + 0 -10 + -10x = -5 Add '10' to each side of the equation. -10 + 10 + -10x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = -5 + 10 -10x = -5 + 10 Combine like terms: -5 + 10 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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