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Simplifying 8 + -1(4x + -4.5) = 5(x + 6) + -2 Reorder the terms: 8 + -1(-4.5 + 4x) = 5(x + 6) + -2 8 + (-4.5 * -1 + 4x * -1) = 5(x + 6) + -2 8 + (4.5 + -4x) = 5(x + 6) + -2 Combine like terms: 8 + 4.5 = 12.5 12.5 + -4x = 5(x + 6) + -2 Reorder the terms: 12.5 + -4x = 5(6 + x) + -2 12.5 + -4x = (6 * 5 + x * 5) + -2 12.5 + -4x = (30 + 5x) + -2 Reorder the terms: 12.5 + -4x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 12.5 + -4x = 28 + 5x Solving 12.5 + -4x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12.5 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 12.5 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 12.5 + -9x = 28 + 0 12.5 + -9x = 28 Add '-12.5' to each side of the equation. 12.5 + -12.5 + -9x = 28 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -9x = 28 + -12.5 -9x = 28 + -12.5 Combine like terms: 28 + -12.5 = 15.5 -9x = 15.5 Divide each side by '-9'. x = -1.722222222 Simplifying x = -1.722222222
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