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Simplifying 205(2x + -4) = 4(x + -4) + x Reorder the terms: 205(-4 + 2x) = 4(x + -4) + x (-4 * 205 + 2x * 205) = 4(x + -4) + x (-820 + 410x) = 4(x + -4) + x Reorder the terms: -820 + 410x = 4(-4 + x) + x -820 + 410x = (-4 * 4 + x * 4) + x -820 + 410x = (-16 + 4x) + x Combine like terms: 4x + x = 5x -820 + 410x = -16 + 5x Solving -820 + 410x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -820 + 410x + -5x = -16 + 5x + -5x Combine like terms: 410x + -5x = 405x -820 + 405x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -820 + 405x = -16 + 0 -820 + 405x = -16 Add '820' to each side of the equation. -820 + 820 + 405x = -16 + 820 Combine like terms: -820 + 820 = 0 0 + 405x = -16 + 820 405x = -16 + 820 Combine like terms: -16 + 820 = 804 405x = 804 Divide each side by '405'. x = 1.985185185 Simplifying x = 1.985185185
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