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Simplifying 2.9 + 0.2x = 0.8(x + -1000) Reorder the terms: 2.9 + 0.2x = 0.8(-1000 + x) 2.9 + 0.2x = (-1000 * 0.8 + x * 0.8) 2.9 + 0.2x = (-800 + 0.8x) Solving 2.9 + 0.2x = -800 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 2.9 + 0.2x + -0.8x = -800 + 0.8x + -0.8x Combine like terms: 0.2x + -0.8x = -0.6x 2.9 + -0.6x = -800 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 2.9 + -0.6x = -800 + 0.0 2.9 + -0.6x = -800 Add '-2.9' to each side of the equation. 2.9 + -2.9 + -0.6x = -800 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -0.6x = -800 + -2.9 -0.6x = -800 + -2.9 Combine like terms: -800 + -2.9 = -802.9 -0.6x = -802.9 Divide each side by '-0.6'. x = 1338.166667 Simplifying x = 1338.166667
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