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Simplifying 0.3x + 100 = -0.6x + 550 Reorder the terms: 100 + 0.3x = -0.6x + 550 Reorder the terms: 100 + 0.3x = 550 + -0.6x Solving 100 + 0.3x = 550 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 100 + 0.3x + 0.6x = 550 + -0.6x + 0.6x Combine like terms: 0.3x + 0.6x = 0.9x 100 + 0.9x = 550 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 100 + 0.9x = 550 + 0.0 100 + 0.9x = 550 Add '-100' to each side of the equation. 100 + -100 + 0.9x = 550 + -100 Combine like terms: 100 + -100 = 0 0 + 0.9x = 550 + -100 0.9x = 550 + -100 Combine like terms: 550 + -100 = 450 0.9x = 450 Divide each side by '0.9'. x = 500 Simplifying x = 500
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