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Simplifying 5x + -5 = 0.5(190 + -13x + -7) Reorder the terms: -5 + 5x = 0.5(190 + -13x + -7) Reorder the terms: -5 + 5x = 0.5(190 + -7 + -13x) Combine like terms: 190 + -7 = 183 -5 + 5x = 0.5(183 + -13x) -5 + 5x = (183 * 0.5 + -13x * 0.5) -5 + 5x = (91.5 + -6.5x) Solving -5 + 5x = 91.5 + -6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5x' to each side of the equation. -5 + 5x + 6.5x = 91.5 + -6.5x + 6.5x Combine like terms: 5x + 6.5x = 11.5x -5 + 11.5x = 91.5 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 -5 + 11.5x = 91.5 + 0.0 -5 + 11.5x = 91.5 Add '5' to each side of the equation. -5 + 5 + 11.5x = 91.5 + 5 Combine like terms: -5 + 5 = 0 0 + 11.5x = 91.5 + 5 11.5x = 91.5 + 5 Combine like terms: 91.5 + 5 = 96.5 11.5x = 96.5 Divide each side by '11.5'. x = 8.391304348 Simplifying x = 8.391304348
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