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Simplifying 2.7(x + -8) = -2.7(x + 1.5) Reorder the terms: 2.7(-8 + x) = -2.7(x + 1.5) (-8 * 2.7 + x * 2.7) = -2.7(x + 1.5) (-21.6 + 2.7x) = -2.7(x + 1.5) Reorder the terms: -21.6 + 2.7x = -2.7(1.5 + x) -21.6 + 2.7x = (1.5 * -2.7 + x * -2.7) -21.6 + 2.7x = (-4.05 + -2.7x) Solving -21.6 + 2.7x = -4.05 + -2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.7x' to each side of the equation. -21.6 + 2.7x + 2.7x = -4.05 + -2.7x + 2.7x Combine like terms: 2.7x + 2.7x = 5.4x -21.6 + 5.4x = -4.05 + -2.7x + 2.7x Combine like terms: -2.7x + 2.7x = 0.0 -21.6 + 5.4x = -4.05 + 0.0 -21.6 + 5.4x = -4.05 Add '21.6' to each side of the equation. -21.6 + 21.6 + 5.4x = -4.05 + 21.6 Combine like terms: -21.6 + 21.6 = 0.0 0.0 + 5.4x = -4.05 + 21.6 5.4x = -4.05 + 21.6 Combine like terms: -4.05 + 21.6 = 17.55 5.4x = 17.55 Divide each side by '5.4'. x = 3.25 Simplifying x = 3.25
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