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Simplifying -1(x + -2) + -6.5x = 2.5x + 19 Reorder the terms: -1(-2 + x) + -6.5x = 2.5x + 19 (-2 * -1 + x * -1) + -6.5x = 2.5x + 19 (2 + -1x) + -6.5x = 2.5x + 19 Combine like terms: -1x + -6.5x = -7.5x 2 + -7.5x = 2.5x + 19 Reorder the terms: 2 + -7.5x = 19 + 2.5x Solving 2 + -7.5x = 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. 2 + -7.5x + -2.5x = 19 + 2.5x + -2.5x Combine like terms: -7.5x + -2.5x = -10x 2 + -10x = 19 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 2 + -10x = 19 + 0.0 2 + -10x = 19 Add '-2' to each side of the equation. 2 + -2 + -10x = 19 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 19 + -2 -10x = 19 + -2 Combine like terms: 19 + -2 = 17 -10x = 17 Divide each side by '-10'. x = -1.7 Simplifying x = -1.7
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