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Simplifying -1(1x + -2) + -6.5 = 2.5x + 19 Reorder the terms: -1(-2 + 1x) + -6.5 = 2.5x + 19 (-2 * -1 + 1x * -1) + -6.5 = 2.5x + 19 (2 + -1x) + -6.5 = 2.5x + 19 Reorder the terms: 2 + -6.5 + -1x = 2.5x + 19 Combine like terms: 2 + -6.5 = -4.5 -4.5 + -1x = 2.5x + 19 Reorder the terms: -4.5 + -1x = 19 + 2.5x Solving -4.5 + -1x = 19 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -4.5 + -1x + -2.5x = 19 + 2.5x + -2.5x Combine like terms: -1x + -2.5x = -3.5x -4.5 + -3.5x = 19 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -4.5 + -3.5x = 19 + 0.0 -4.5 + -3.5x = 19 Add '4.5' to each side of the equation. -4.5 + 4.5 + -3.5x = 19 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -3.5x = 19 + 4.5 -3.5x = 19 + 4.5 Combine like terms: 19 + 4.5 = 23.5 -3.5x = 23.5 Divide each side by '-3.5'. x = -6.714285714 Simplifying x = -6.714285714
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