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Simplifying 2.5(x + 2) = 3x + -4(3 + -1x) + -8 Reorder the terms: 2.5(2 + x) = 3x + -4(3 + -1x) + -8 (2 * 2.5 + x * 2.5) = 3x + -4(3 + -1x) + -8 (5 + 2.5x) = 3x + -4(3 + -1x) + -8 5 + 2.5x = 3x + (3 * -4 + -1x * -4) + -8 5 + 2.5x = 3x + (-12 + 4x) + -8 Reorder the terms: 5 + 2.5x = -12 + -8 + 3x + 4x Combine like terms: -12 + -8 = -20 5 + 2.5x = -20 + 3x + 4x Combine like terms: 3x + 4x = 7x 5 + 2.5x = -20 + 7x Solving 5 + 2.5x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 2.5x + -7x = -20 + 7x + -7x Combine like terms: 2.5x + -7x = -4.5x 5 + -4.5x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -4.5x = -20 + 0 5 + -4.5x = -20 Add '-5' to each side of the equation. 5 + -5 + -4.5x = -20 + -5 Combine like terms: 5 + -5 = 0 0 + -4.5x = -20 + -5 -4.5x = -20 + -5 Combine like terms: -20 + -5 = -25 -4.5x = -25 Divide each side by '-4.5'. x = 5.555555556 Simplifying x = 5.555555556
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