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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 = -45 -45 + 6x + -3x = 7 Combine like terms: 6x + -3x = 3x -45 + 3x = 7 Solving -45 + 3x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 3x = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 7 + 45 3x = 7 + 45 Combine like terms: 7 + 45 = 52 3x = 52 Divide each side by '3'. x = 17.33333333 Simplifying x = 17.33333333
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