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Simplifying -460 = 10(7x + 3) Reorder the terms: -460 = 10(3 + 7x) -460 = (3 * 10 + 7x * 10) -460 = (30 + 70x) Solving -460 = 30 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. -460 + -70x = 30 + 70x + -70x Combine like terms: 70x + -70x = 0 -460 + -70x = 30 + 0 -460 + -70x = 30 Add '460' to each side of the equation. -460 + 460 + -70x = 30 + 460 Combine like terms: -460 + 460 = 0 0 + -70x = 30 + 460 -70x = 30 + 460 Combine like terms: 30 + 460 = 490 -70x = 490 Divide each side by '-70'. x = -7 Simplifying x = -7
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