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Simplifying 3(x + -8) + 6(x + -19) = 6 Reorder the terms: 3(-8 + x) + 6(x + -19) = 6 (-8 * 3 + x * 3) + 6(x + -19) = 6 (-24 + 3x) + 6(x + -19) = 6 Reorder the terms: -24 + 3x + 6(-19 + x) = 6 -24 + 3x + (-19 * 6 + x * 6) = 6 -24 + 3x + (-114 + 6x) = 6 Reorder the terms: -24 + -114 + 3x + 6x = 6 Combine like terms: -24 + -114 = -138 -138 + 3x + 6x = 6 Combine like terms: 3x + 6x = 9x -138 + 9x = 6 Solving -138 + 9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '138' to each side of the equation. -138 + 138 + 9x = 6 + 138 Combine like terms: -138 + 138 = 0 0 + 9x = 6 + 138 9x = 6 + 138 Combine like terms: 6 + 138 = 144 9x = 144 Divide each side by '9'. x = 16 Simplifying x = 16
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