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Simplifying 3(x + -6) + 4(x + -7) = 3 Reorder the terms: 3(-6 + x) + 4(x + -7) = 3 (-6 * 3 + x * 3) + 4(x + -7) = 3 (-18 + 3x) + 4(x + -7) = 3 Reorder the terms: -18 + 3x + 4(-7 + x) = 3 -18 + 3x + (-7 * 4 + x * 4) = 3 -18 + 3x + (-28 + 4x) = 3 Reorder the terms: -18 + -28 + 3x + 4x = 3 Combine like terms: -18 + -28 = -46 -46 + 3x + 4x = 3 Combine like terms: 3x + 4x = 7x -46 + 7x = 3 Solving -46 + 7x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 7x = 3 + 46 Combine like terms: -46 + 46 = 0 0 + 7x = 3 + 46 7x = 3 + 46 Combine like terms: 3 + 46 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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