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Simplifying 0.5(x + -2) + -14x = x + -5 Reorder the terms: 0.5(-2 + x) + -14x = x + -5 (-2 * 0.5 + x * 0.5) + -14x = x + -5 (-1 + 0.5x) + -14x = x + -5 Combine like terms: 0.5x + -14x = -13.5x -1 + -13.5x = x + -5 Reorder the terms: -1 + -13.5x = -5 + x Solving -1 + -13.5x = -5 + x 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. -1 + -13.5x + -1x = -5 + x + -1x Combine like terms: -13.5x + -1x = -14.5x -1 + -14.5x = -5 + x + -1x Combine like terms: x + -1x = 0 -1 + -14.5x = -5 + 0 -1 + -14.5x = -5 Add '1' to each side of the equation. -1 + 1 + -14.5x = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -14.5x = -5 + 1 -14.5x = -5 + 1 Combine like terms: -5 + 1 = -4 -14.5x = -4 Divide each side by '-14.5'. x = 0.275862069 Simplifying x = 0.275862069
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