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Simplifying -35 = 15x + 3(-7x + 4) Reorder the terms: -35 = 15x + 3(4 + -7x) -35 = 15x + (4 * 3 + -7x * 3) -35 = 15x + (12 + -21x) Reorder the terms: -35 = 12 + 15x + -21x Combine like terms: 15x + -21x = -6x -35 = 12 + -6x Solving -35 = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + 6x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 6x = 12 + 0 -35 + 6x = 12 Add '35' to each side of the equation. -35 + 35 + 6x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = 12 + 35 6x = 12 + 35 Combine like terms: 12 + 35 = 47 6x = 47 Divide each side by '6'. x = 7.833333333 Simplifying x = 7.833333333
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