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Simplifying 0.45x + 0.70(120 + -1x) = -0.15x 0.45x + (120 * 0.70 + -1x * 0.70) = -0.15x 0.45x + (84 + -0.7x) = -0.15x Reorder the terms: 84 + 0.45x + -0.7x = -0.15x Combine like terms: 0.45x + -0.7x = -0.25x 84 + -0.25x = -0.15x Solving 84 + -0.25x = -0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15x' to each side of the equation. 84 + -0.25x + 0.15x = -0.15x + 0.15x Combine like terms: -0.25x + 0.15x = -0.1x 84 + -0.1x = -0.15x + 0.15x Combine like terms: -0.15x + 0.15x = 0.00 84 + -0.1x = 0.00 Add '-84' to each side of the equation. 84 + -84 + -0.1x = 0.00 + -84 Combine like terms: 84 + -84 = 0 0 + -0.1x = 0.00 + -84 -0.1x = 0.00 + -84 Combine like terms: 0.00 + -84 = -84 -0.1x = -84 Divide each side by '-0.1'. x = 840 Simplifying x = 840
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