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Simplifying 0.75(8x + -6) + 4 = 4x + -12 Reorder the terms: 0.75(-6 + 8x) + 4 = 4x + -12 (-6 * 0.75 + 8x * 0.75) + 4 = 4x + -12 (-4.5 + 6x) + 4 = 4x + -12 Reorder the terms: -4.5 + 4 + 6x = 4x + -12 Combine like terms: -4.5 + 4 = -0.5 -0.5 + 6x = 4x + -12 Reorder the terms: -0.5 + 6x = -12 + 4x Solving -0.5 + 6x = -12 + 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. -0.5 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x -0.5 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -0.5 + 2x = -12 + 0 -0.5 + 2x = -12 Add '0.5' to each side of the equation. -0.5 + 0.5 + 2x = -12 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2x = -12 + 0.5 2x = -12 + 0.5 Combine like terms: -12 + 0.5 = -11.5 2x = -11.5 Divide each side by '2'. x = -5.75 Simplifying x = -5.75
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