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Simplifying 3(1 + 2x) + 7(6x + -1) = 44 (1 * 3 + 2x * 3) + 7(6x + -1) = 44 (3 + 6x) + 7(6x + -1) = 44 Reorder the terms: 3 + 6x + 7(-1 + 6x) = 44 3 + 6x + (-1 * 7 + 6x * 7) = 44 3 + 6x + (-7 + 42x) = 44 Reorder the terms: 3 + -7 + 6x + 42x = 44 Combine like terms: 3 + -7 = -4 -4 + 6x + 42x = 44 Combine like terms: 6x + 42x = 48x -4 + 48x = 44 Solving -4 + 48x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 48x = 44 + 4 Combine like terms: -4 + 4 = 0 0 + 48x = 44 + 4 48x = 44 + 4 Combine like terms: 44 + 4 = 48 48x = 48 Divide each side by '48'. x = 1 Simplifying x = 1
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