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Simplifying 8.00x + -6.5(x + -5) = 5.0(4 + -1x) + 3 Reorder the terms: 8.00x + -6.5(-5 + x) = 5.0(4 + -1x) + 3 8.00x + (-5 * -6.5 + x * -6.5) = 5.0(4 + -1x) + 3 8.00x + (32.5 + -6.5x) = 5.0(4 + -1x) + 3 Reorder the terms: 32.5 + 8.00x + -6.5x = 5.0(4 + -1x) + 3 Combine like terms: 8.00x + -6.5x = 1.5x 32.5 + 1.5x = 5.0(4 + -1x) + 3 32.5 + 1.5x = (4 * 5.0 + -1x * 5.0) + 3 32.5 + 1.5x = (20 + -5x) + 3 Reorder the terms: 32.5 + 1.5x = 20 + 3 + -5x Combine like terms: 20 + 3 = 23 32.5 + 1.5x = 23 + -5x Solving 32.5 + 1.5x = 23 + -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. 32.5 + 1.5x + 5x = 23 + -5x + 5x Combine like terms: 1.5x + 5x = 6.5x 32.5 + 6.5x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 32.5 + 6.5x = 23 + 0 32.5 + 6.5x = 23 Add '-32.5' to each side of the equation. 32.5 + -32.5 + 6.5x = 23 + -32.5 Combine like terms: 32.5 + -32.5 = 0.0 0.0 + 6.5x = 23 + -32.5 6.5x = 23 + -32.5 Combine like terms: 23 + -32.5 = -9.5 6.5x = -9.5 Divide each side by '6.5'. x = -1.461538462 Simplifying x = -1.461538462
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