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Simplifying 1.5(x + -8) = 0.25x + 3 Reorder the terms: 1.5(-8 + x) = 0.25x + 3 (-8 * 1.5 + x * 1.5) = 0.25x + 3 (-12 + 1.5x) = 0.25x + 3 Reorder the terms: -12 + 1.5x = 3 + 0.25x Solving -12 + 1.5x = 3 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -12 + 1.5x + -0.25x = 3 + 0.25x + -0.25x Combine like terms: 1.5x + -0.25x = 1.25x -12 + 1.25x = 3 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -12 + 1.25x = 3 + 0.00 -12 + 1.25x = 3 Add '12' to each side of the equation. -12 + 12 + 1.25x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 1.25x = 3 + 12 1.25x = 3 + 12 Combine like terms: 3 + 12 = 15 1.25x = 15 Divide each side by '1.25'. x = 12 Simplifying x = 12
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