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Simplifying 6(x + -4) + 3(x + 7) = 7 Reorder the terms: 6(-4 + x) + 3(x + 7) = 7 (-4 * 6 + x * 6) + 3(x + 7) = 7 (-24 + 6x) + 3(x + 7) = 7 Reorder the terms: -24 + 6x + 3(7 + x) = 7 -24 + 6x + (7 * 3 + x * 3) = 7 -24 + 6x + (21 + 3x) = 7 Reorder the terms: -24 + 21 + 6x + 3x = 7 Combine like terms: -24 + 21 = -3 -3 + 6x + 3x = 7 Combine like terms: 6x + 3x = 9x -3 + 9x = 7 Solving -3 + 9x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 7 + 3 9x = 7 + 3 Combine like terms: 7 + 3 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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