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Simplifying 0.75(6x + -9) + 5 = 4(x + -8) Reorder the terms: 0.75(-9 + 6x) + 5 = 4(x + -8) (-9 * 0.75 + 6x * 0.75) + 5 = 4(x + -8) (-6.75 + 4.5x) + 5 = 4(x + -8) Reorder the terms: -6.75 + 5 + 4.5x = 4(x + -8) Combine like terms: -6.75 + 5 = -1.75 -1.75 + 4.5x = 4(x + -8) Reorder the terms: -1.75 + 4.5x = 4(-8 + x) -1.75 + 4.5x = (-8 * 4 + x * 4) -1.75 + 4.5x = (-32 + 4x) Solving -1.75 + 4.5x = -32 + 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. -1.75 + 4.5x + -4x = -32 + 4x + -4x Combine like terms: 4.5x + -4x = 0.5x -1.75 + 0.5x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -1.75 + 0.5x = -32 + 0 -1.75 + 0.5x = -32 Add '1.75' to each side of the equation. -1.75 + 1.75 + 0.5x = -32 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + 0.5x = -32 + 1.75 0.5x = -32 + 1.75 Combine like terms: -32 + 1.75 = -30.25 0.5x = -30.25 Divide each side by '0.5'. x = -60.5 Simplifying x = -60.5
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