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Simplifying 10(2x + -3) = 100x Reorder the terms: 10(-3 + 2x) = 100x (-3 * 10 + 2x * 10) = 100x (-30 + 20x) = 100x Solving -30 + 20x = 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. -30 + 20x + -100x = 100x + -100x Combine like terms: 20x + -100x = -80x -30 + -80x = 100x + -100x Combine like terms: 100x + -100x = 0 -30 + -80x = 0 Add '30' to each side of the equation. -30 + 30 + -80x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -80x = 0 + 30 -80x = 0 + 30 Combine like terms: 0 + 30 = 30 -80x = 30 Divide each side by '-80'. x = -0.375 Simplifying x = -0.375
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