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Simplifying 3(4x + -7) = 5(x + 35) Reorder the terms: 3(-7 + 4x) = 5(x + 35) (-7 * 3 + 4x * 3) = 5(x + 35) (-21 + 12x) = 5(x + 35) Reorder the terms: -21 + 12x = 5(35 + x) -21 + 12x = (35 * 5 + x * 5) -21 + 12x = (175 + 5x) Solving -21 + 12x = 175 + 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. -21 + 12x + -5x = 175 + 5x + -5x Combine like terms: 12x + -5x = 7x -21 + 7x = 175 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 7x = 175 + 0 -21 + 7x = 175 Add '21' to each side of the equation. -21 + 21 + 7x = 175 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 175 + 21 7x = 175 + 21 Combine like terms: 175 + 21 = 196 7x = 196 Divide each side by '7'. x = 28 Simplifying x = 28
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