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Simplifying 19 + -0.25(x + 8) = -1x + 2 Reorder the terms: 19 + -0.25(8 + x) = -1x + 2 19 + (8 * -0.25 + x * -0.25) = -1x + 2 19 + (-2 + -0.25x) = -1x + 2 Combine like terms: 19 + -2 = 17 17 + -0.25x = -1x + 2 Reorder the terms: 17 + -0.25x = 2 + -1x Solving 17 + -0.25x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 17 + -0.25x + x = 2 + -1x + x Combine like terms: -0.25x + x = 0.75x 17 + 0.75x = 2 + -1x + x Combine like terms: -1x + x = 0 17 + 0.75x = 2 + 0 17 + 0.75x = 2 Add '-17' to each side of the equation. 17 + -17 + 0.75x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 0.75x = 2 + -17 0.75x = 2 + -17 Combine like terms: 2 + -17 = -15 0.75x = -15 Divide each side by '0.75'. x = -20 Simplifying x = -20
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