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Simplifying 5.5x + -3(x + -8) = 0.5(9x + -4) + 6 Reorder the terms: 5.5x + -3(-8 + x) = 0.5(9x + -4) + 6 5.5x + (-8 * -3 + x * -3) = 0.5(9x + -4) + 6 5.5x + (24 + -3x) = 0.5(9x + -4) + 6 Reorder the terms: 24 + 5.5x + -3x = 0.5(9x + -4) + 6 Combine like terms: 5.5x + -3x = 2.5x 24 + 2.5x = 0.5(9x + -4) + 6 Reorder the terms: 24 + 2.5x = 0.5(-4 + 9x) + 6 24 + 2.5x = (-4 * 0.5 + 9x * 0.5) + 6 24 + 2.5x = (-2 + 4.5x) + 6 Reorder the terms: 24 + 2.5x = -2 + 6 + 4.5x Combine like terms: -2 + 6 = 4 24 + 2.5x = 4 + 4.5x Solving 24 + 2.5x = 4 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 24 + 2.5x + -4.5x = 4 + 4.5x + -4.5x Combine like terms: 2.5x + -4.5x = -2x 24 + -2x = 4 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 24 + -2x = 4 + 0.0 24 + -2x = 4 Add '-24' to each side of the equation. 24 + -24 + -2x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 4 + -24 -2x = 4 + -24 Combine like terms: 4 + -24 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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