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Simplifying 7x + 3(4x + -10) = 122 Reorder the terms: 7x + 3(-10 + 4x) = 122 7x + (-10 * 3 + 4x * 3) = 122 7x + (-30 + 12x) = 122 Reorder the terms: -30 + 7x + 12x = 122 Combine like terms: 7x + 12x = 19x -30 + 19x = 122 Solving -30 + 19x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 19x = 122 + 30 Combine like terms: -30 + 30 = 0 0 + 19x = 122 + 30 19x = 122 + 30 Combine like terms: 122 + 30 = 152 19x = 152 Divide each side by '19'. x = 8 Simplifying x = 8
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