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Simplifying 3x + 3(7x + -10) = 114 Reorder the terms: 3x + 3(-10 + 7x) = 114 3x + (-10 * 3 + 7x * 3) = 114 3x + (-30 + 21x) = 114 Reorder the terms: -30 + 3x + 21x = 114 Combine like terms: 3x + 21x = 24x -30 + 24x = 114 Solving -30 + 24x = 114 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 + 24x = 114 + 30 Combine like terms: -30 + 30 = 0 0 + 24x = 114 + 30 24x = 114 + 30 Combine like terms: 114 + 30 = 144 24x = 144 Divide each side by '24'. x = 6 Simplifying x = 6
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