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Simplifying 10 + 3(4x + -6) + 7 = 35 Reorder the terms: 10 + 3(-6 + 4x) + 7 = 35 10 + (-6 * 3 + 4x * 3) + 7 = 35 10 + (-18 + 12x) + 7 = 35 Reorder the terms: 10 + -18 + 7 + 12x = 35 Combine like terms: 10 + -18 = -8 -8 + 7 + 12x = 35 Combine like terms: -8 + 7 = -1 -1 + 12x = 35 Solving -1 + 12x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 35 + 1 12x = 35 + 1 Combine like terms: 35 + 1 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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