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Simplifying 2x + 4(5x + -12) = 106 Reorder the terms: 2x + 4(-12 + 5x) = 106 2x + (-12 * 4 + 5x * 4) = 106 2x + (-48 + 20x) = 106 Reorder the terms: -48 + 2x + 20x = 106 Combine like terms: 2x + 20x = 22x -48 + 22x = 106 Solving -48 + 22x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 22x = 106 + 48 Combine like terms: -48 + 48 = 0 0 + 22x = 106 + 48 22x = 106 + 48 Combine like terms: 106 + 48 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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