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Simplifying 0.8(x + -100) = 1(x + -50) Reorder the terms: 0.8(-100 + x) = 1(x + -50) (-100 * 0.8 + x * 0.8) = 1(x + -50) (-80 + 0.8x) = 1(x + -50) Reorder the terms: -80 + 0.8x = 1(-50 + x) -80 + 0.8x = (-50 * 1 + x * 1) -80 + 0.8x = (-50 + 1x) Solving -80 + 0.8x = -50 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -80 + 0.8x + -1x = -50 + 1x + -1x Combine like terms: 0.8x + -1x = -0.2x -80 + -0.2x = -50 + 1x + -1x Combine like terms: 1x + -1x = 0 -80 + -0.2x = -50 + 0 -80 + -0.2x = -50 Add '80' to each side of the equation. -80 + 80 + -0.2x = -50 + 80 Combine like terms: -80 + 80 = 0 0 + -0.2x = -50 + 80 -0.2x = -50 + 80 Combine like terms: -50 + 80 = 30 -0.2x = 30 Divide each side by '-0.2'. x = -150 Simplifying x = -150
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