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Simplifying 0.75(x + -16) = -0.25(x + -8) + 4 Reorder the terms: 0.75(-16 + x) = -0.25(x + -8) + 4 (-16 * 0.75 + x * 0.75) = -0.25(x + -8) + 4 (-12 + 0.75x) = -0.25(x + -8) + 4 Reorder the terms: -12 + 0.75x = -0.25(-8 + x) + 4 -12 + 0.75x = (-8 * -0.25 + x * -0.25) + 4 -12 + 0.75x = (2 + -0.25x) + 4 Reorder the terms: -12 + 0.75x = 2 + 4 + -0.25x Combine like terms: 2 + 4 = 6 -12 + 0.75x = 6 + -0.25x Solving -12 + 0.75x = 6 + -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 + 0.75x + 0.25x = 6 + -0.25x + 0.25x Combine like terms: 0.75x + 0.25x = 1x -12 + 1x = 6 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 -12 + 1x = 6 + 0.00 -12 + 1x = 6 Add '12' to each side of the equation. -12 + 12 + 1x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 6 + 12 1x = 6 + 12 Combine like terms: 6 + 12 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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