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Simplifying 0.25(x + 2) = 3x + -6(2 + -1x) + -5 Reorder the terms: 0.25(2 + x) = 3x + -6(2 + -1x) + -5 (2 * 0.25 + x * 0.25) = 3x + -6(2 + -1x) + -5 (0.5 + 0.25x) = 3x + -6(2 + -1x) + -5 0.5 + 0.25x = 3x + (2 * -6 + -1x * -6) + -5 0.5 + 0.25x = 3x + (-12 + 6x) + -5 Reorder the terms: 0.5 + 0.25x = -12 + -5 + 3x + 6x Combine like terms: -12 + -5 = -17 0.5 + 0.25x = -17 + 3x + 6x Combine like terms: 3x + 6x = 9x 0.5 + 0.25x = -17 + 9x Solving 0.5 + 0.25x = -17 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 0.5 + 0.25x + -9x = -17 + 9x + -9x Combine like terms: 0.25x + -9x = -8.75x 0.5 + -8.75x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 0.5 + -8.75x = -17 + 0 0.5 + -8.75x = -17 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -8.75x = -17 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -8.75x = -17 + -0.5 -8.75x = -17 + -0.5 Combine like terms: -17 + -0.5 = -17.5 -8.75x = -17.5 Divide each side by '-8.75'. x = 2 Simplifying x = 2
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