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Simplifying 5.5x + 2.5(x + -4.8) = 8 + -2x Reorder the terms: 5.5x + 2.5(-4.8 + x) = 8 + -2x 5.5x + (-4.8 * 2.5 + x * 2.5) = 8 + -2x 5.5x + (-12 + 2.5x) = 8 + -2x Reorder the terms: -12 + 5.5x + 2.5x = 8 + -2x Combine like terms: 5.5x + 2.5x = 8x -12 + 8x = 8 + -2x Solving -12 + 8x = 8 + -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. -12 + 8x + 2x = 8 + -2x + 2x Combine like terms: 8x + 2x = 10x -12 + 10x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 10x = 8 + 0 -12 + 10x = 8 Add '12' to each side of the equation. -12 + 12 + 10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 8 + 12 10x = 8 + 12 Combine like terms: 8 + 12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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