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Simplifying 0.05x + 0.70(140 + -1x) = -0.15x 0.05x + (140 * 0.70 + -1x * 0.70) = -0.15x 0.05x + (98 + -0.7x) = -0.15x Reorder the terms: 98 + 0.05x + -0.7x = -0.15x Combine like terms: 0.05x + -0.7x = -0.65x 98 + -0.65x = -0.15x Solving 98 + -0.65x = -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. 98 + -0.65x + 0.15x = -0.15x + 0.15x Combine like terms: -0.65x + 0.15x = -0.5x 98 + -0.5x = -0.15x + 0.15x Combine like terms: -0.15x + 0.15x = 0.00 98 + -0.5x = 0.00 Add '-98' to each side of the equation. 98 + -98 + -0.5x = 0.00 + -98 Combine like terms: 98 + -98 = 0 0 + -0.5x = 0.00 + -98 -0.5x = 0.00 + -98 Combine like terms: 0.00 + -98 = -98 -0.5x = -98 Divide each side by '-0.5'. x = 196 Simplifying x = 196
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