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Simplifying 0.75(8x + -32) = 5(3x + -4) + -8 Reorder the terms: 0.75(-32 + 8x) = 5(3x + -4) + -8 (-32 * 0.75 + 8x * 0.75) = 5(3x + -4) + -8 (-24 + 6x) = 5(3x + -4) + -8 Reorder the terms: -24 + 6x = 5(-4 + 3x) + -8 -24 + 6x = (-4 * 5 + 3x * 5) + -8 -24 + 6x = (-20 + 15x) + -8 Reorder the terms: -24 + 6x = -20 + -8 + 15x Combine like terms: -20 + -8 = -28 -24 + 6x = -28 + 15x Solving -24 + 6x = -28 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -24 + 6x + -15x = -28 + 15x + -15x Combine like terms: 6x + -15x = -9x -24 + -9x = -28 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + -9x = -28 + 0 -24 + -9x = -28 Add '24' to each side of the equation. -24 + 24 + -9x = -28 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = -28 + 24 -9x = -28 + 24 Combine like terms: -28 + 24 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444
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