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Simplifying 12.465 + 4.9x = 7.3(-0.5x + -4.5) Reorder the terms: 12.465 + 4.9x = 7.3(-4.5 + -0.5x) 12.465 + 4.9x = (-4.5 * 7.3 + -0.5x * 7.3) 12.465 + 4.9x = (-32.85 + -3.65x) Solving 12.465 + 4.9x = -32.85 + -3.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.65x' to each side of the equation. 12.465 + 4.9x + 3.65x = -32.85 + -3.65x + 3.65x Combine like terms: 4.9x + 3.65x = 8.55x 12.465 + 8.55x = -32.85 + -3.65x + 3.65x Combine like terms: -3.65x + 3.65x = 0.00 12.465 + 8.55x = -32.85 + 0.00 12.465 + 8.55x = -32.85 Add '-12.465' to each side of the equation. 12.465 + -12.465 + 8.55x = -32.85 + -12.465 Combine like terms: 12.465 + -12.465 = 0.000 0.000 + 8.55x = -32.85 + -12.465 8.55x = -32.85 + -12.465 Combine like terms: -32.85 + -12.465 = -45.315 8.55x = -45.315 Divide each side by '8.55'. x = -5.3 Simplifying x = -5.3
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