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Simplifying 0.25(x + -76) = 11 + 4x Reorder the terms: 0.25(-76 + x) = 11 + 4x (-76 * 0.25 + x * 0.25) = 11 + 4x (-19 + 0.25x) = 11 + 4x Solving -19 + 0.25x = 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. -19 + 0.25x + -4x = 11 + 4x + -4x Combine like terms: 0.25x + -4x = -3.75x -19 + -3.75x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + -3.75x = 11 + 0 -19 + -3.75x = 11 Add '19' to each side of the equation. -19 + 19 + -3.75x = 11 + 19 Combine like terms: -19 + 19 = 0 0 + -3.75x = 11 + 19 -3.75x = 11 + 19 Combine like terms: 11 + 19 = 30 -3.75x = 30 Divide each side by '-3.75'. x = -8 Simplifying x = -8
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