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Simplifying 3(4x + -35) = 5(x + 21) Reorder the terms: 3(-35 + 4x) = 5(x + 21) (-35 * 3 + 4x * 3) = 5(x + 21) (-105 + 12x) = 5(x + 21) Reorder the terms: -105 + 12x = 5(21 + x) -105 + 12x = (21 * 5 + x * 5) -105 + 12x = (105 + 5x) Solving -105 + 12x = 105 + 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. -105 + 12x + -5x = 105 + 5x + -5x Combine like terms: 12x + -5x = 7x -105 + 7x = 105 + 5x + -5x Combine like terms: 5x + -5x = 0 -105 + 7x = 105 + 0 -105 + 7x = 105 Add '105' to each side of the equation. -105 + 105 + 7x = 105 + 105 Combine like terms: -105 + 105 = 0 0 + 7x = 105 + 105 7x = 105 + 105 Combine like terms: 105 + 105 = 210 7x = 210 Divide each side by '7'. x = 30 Simplifying x = 30
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