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Simplifying 1 + -0.5(5x + 12) = 0.25(6x + -8) + 2 Reorder the terms: 1 + -0.5(12 + 5x) = 0.25(6x + -8) + 2 1 + (12 * -0.5 + 5x * -0.5) = 0.25(6x + -8) + 2 1 + (-6 + -2.5x) = 0.25(6x + -8) + 2 Combine like terms: 1 + -6 = -5 -5 + -2.5x = 0.25(6x + -8) + 2 Reorder the terms: -5 + -2.5x = 0.25(-8 + 6x) + 2 -5 + -2.5x = (-8 * 0.25 + 6x * 0.25) + 2 -5 + -2.5x = (-2 + 1.5x) + 2 Reorder the terms: -5 + -2.5x = -2 + 2 + 1.5x Combine like terms: -2 + 2 = 0 -5 + -2.5x = 0 + 1.5x -5 + -2.5x = 1.5x Solving -5 + -2.5x = 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -5 + -2.5x + -1.5x = 1.5x + -1.5x Combine like terms: -2.5x + -1.5x = -4x -5 + -4x = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -5 + -4x = 0.0 Add '5' to each side of the equation. -5 + 5 + -4x = 0.0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0.0 + 5 -4x = 0.0 + 5 Combine like terms: 0.0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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