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Simplifying 4(2 + -1x) = 10(10x + -5) (2 * 4 + -1x * 4) = 10(10x + -5) (8 + -4x) = 10(10x + -5) Reorder the terms: 8 + -4x = 10(-5 + 10x) 8 + -4x = (-5 * 10 + 10x * 10) 8 + -4x = (-50 + 100x) Solving 8 + -4x = -50 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 8 + -4x + -100x = -50 + 100x + -100x Combine like terms: -4x + -100x = -104x 8 + -104x = -50 + 100x + -100x Combine like terms: 100x + -100x = 0 8 + -104x = -50 + 0 8 + -104x = -50 Add '-8' to each side of the equation. 8 + -8 + -104x = -50 + -8 Combine like terms: 8 + -8 = 0 0 + -104x = -50 + -8 -104x = -50 + -8 Combine like terms: -50 + -8 = -58 -104x = -58 Divide each side by '-104'. x = 0.5576923077 Simplifying x = 0.5576923077
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