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Simplifying 10(3x + -5) = 100x Reorder the terms: 10(-5 + 3x) = 100x (-5 * 10 + 3x * 10) = 100x (-50 + 30x) = 100x Solving -50 + 30x = 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. -50 + 30x + -100x = 100x + -100x Combine like terms: 30x + -100x = -70x -50 + -70x = 100x + -100x Combine like terms: 100x + -100x = 0 -50 + -70x = 0 Add '50' to each side of the equation. -50 + 50 + -70x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -70x = 0 + 50 -70x = 0 + 50 Combine like terms: 0 + 50 = 50 -70x = 50 Divide each side by '-70'. x = -0.7142857143 Simplifying x = -0.7142857143
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