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Simplifying 0.25(10x + -4) = 4x + 11 Reorder the terms: 0.25(-4 + 10x) = 4x + 11 (-4 * 0.25 + 10x * 0.25) = 4x + 11 (-1 + 2.5x) = 4x + 11 Reorder the terms: -1 + 2.5x = 11 + 4x Solving -1 + 2.5x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 2.5x + -4x = 11 + 4x + -4x Combine like terms: 2.5x + -4x = -1.5x -1 + -1.5x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -1.5x = 11 + 0 -1 + -1.5x = 11 Add '1' to each side of the equation. -1 + 1 + -1.5x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -1.5x = 11 + 1 -1.5x = 11 + 1 Combine like terms: 11 + 1 = 12 -1.5x = 12 Divide each side by '-1.5'. x = -8 Simplifying x = -8
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