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Simplifying 6(x + -6) + 4(4x) = 74 Reorder the terms: 6(-6 + x) + 4(4x) = 74 (-6 * 6 + x * 6) + 4(4x) = 74 (-36 + 6x) + 4(4x) = 74 Remove parenthesis around (4x) -36 + 6x + 4 * 4x = 74 Multiply 4 * 4 -36 + 6x + 16x = 74 Combine like terms: 6x + 16x = 22x -36 + 22x = 74 Solving -36 + 22x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 22x = 74 + 36 Combine like terms: -36 + 36 = 0 0 + 22x = 74 + 36 22x = 74 + 36 Combine like terms: 74 + 36 = 110 22x = 110 Divide each side by '22'. x = 5 Simplifying x = 5
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