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Simplifying 0.25x + -1.5(x + -8) = 0.25x + -3 Reorder the terms: 0.25x + -1.5(-8 + x) = 0.25x + -3 0.25x + (-8 * -1.5 + x * -1.5) = 0.25x + -3 0.25x + (12 + -1.5x) = 0.25x + -3 Reorder the terms: 12 + 0.25x + -1.5x = 0.25x + -3 Combine like terms: 0.25x + -1.5x = -1.25x 12 + -1.25x = 0.25x + -3 Reorder the terms: 12 + -1.25x = -3 + 0.25x Solving 12 + -1.25x = -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 + -1.25x + -0.25x = -3 + 0.25x + -0.25x Combine like terms: -1.25x + -0.25x = -1.5x 12 + -1.5x = -3 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 12 + -1.5x = -3 + 0.00 12 + -1.5x = -3 Add '-12' to each side of the equation. 12 + -12 + -1.5x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1.5x = -3 + -12 -1.5x = -3 + -12 Combine like terms: -3 + -12 = -15 -1.5x = -15 Divide each side by '-1.5'. x = 10 Simplifying x = 10
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