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Simplifying 75x + -3(5 + -3x) = 100x + -30 75x + (5 * -3 + -3x * -3) = 100x + -30 75x + (-15 + 9x) = 100x + -30 Reorder the terms: -15 + 75x + 9x = 100x + -30 Combine like terms: 75x + 9x = 84x -15 + 84x = 100x + -30 Reorder the terms: -15 + 84x = -30 + 100x Solving -15 + 84x = -30 + 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. -15 + 84x + -100x = -30 + 100x + -100x Combine like terms: 84x + -100x = -16x -15 + -16x = -30 + 100x + -100x Combine like terms: 100x + -100x = 0 -15 + -16x = -30 + 0 -15 + -16x = -30 Add '15' to each side of the equation. -15 + 15 + -16x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = -30 + 15 -16x = -30 + 15 Combine like terms: -30 + 15 = -15 -16x = -15 Divide each side by '-16'. x = 0.9375 Simplifying x = 0.9375
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