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Simplifying 0.25(4x + -12) = 7x + -12 + -1x Reorder the terms: 0.25(-12 + 4x) = 7x + -12 + -1x (-12 * 0.25 + 4x * 0.25) = 7x + -12 + -1x (-3 + 1x) = 7x + -12 + -1x Reorder the terms: -3 + 1x = -12 + 7x + -1x Combine like terms: 7x + -1x = 6x -3 + 1x = -12 + 6x Solving -3 + 1x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 1x + -6x = -12 + 6x + -6x Combine like terms: 1x + -6x = -5x -3 + -5x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -5x = -12 + 0 -3 + -5x = -12 Add '3' to each side of the equation. -3 + 3 + -5x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -12 + 3 -5x = -12 + 3 Combine like terms: -12 + 3 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8
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