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Simplifying 0.75x + -5 = -2(x + 8) Reorder the terms: -5 + 0.75x = -2(x + 8) Reorder the terms: -5 + 0.75x = -2(8 + x) -5 + 0.75x = (8 * -2 + x * -2) -5 + 0.75x = (-16 + -2x) Solving -5 + 0.75x = -16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 0.75x + 2x = -16 + -2x + 2x Combine like terms: 0.75x + 2x = 2.75x -5 + 2.75x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 2.75x = -16 + 0 -5 + 2.75x = -16 Add '5' to each side of the equation. -5 + 5 + 2.75x = -16 + 5 Combine like terms: -5 + 5 = 0 0 + 2.75x = -16 + 5 2.75x = -16 + 5 Combine like terms: -16 + 5 = -11 2.75x = -11 Divide each side by '2.75'. x = -4 Simplifying x = -4
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