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Simplifying 0.8(x + -1000) + 1.3 = 2.9 + 0.2x Reorder the terms: 0.8(-1000 + x) + 1.3 = 2.9 + 0.2x (-1000 * 0.8 + x * 0.8) + 1.3 = 2.9 + 0.2x (-800 + 0.8x) + 1.3 = 2.9 + 0.2x Reorder the terms: -800 + 1.3 + 0.8x = 2.9 + 0.2x Combine like terms: -800 + 1.3 = -798.7 -798.7 + 0.8x = 2.9 + 0.2x Solving -798.7 + 0.8x = 2.9 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -798.7 + 0.8x + -0.2x = 2.9 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x -798.7 + 0.6x = 2.9 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -798.7 + 0.6x = 2.9 + 0.0 -798.7 + 0.6x = 2.9 Add '798.7' to each side of the equation. -798.7 + 798.7 + 0.6x = 2.9 + 798.7 Combine like terms: -798.7 + 798.7 = 0.0 0.0 + 0.6x = 2.9 + 798.7 0.6x = 2.9 + 798.7 Combine like terms: 2.9 + 798.7 = 801.6 0.6x = 801.6 Divide each side by '0.6'. x = 1336 Simplifying x = 1336
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