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Simplifying 6(x + -7) + 3(x + -4) = -81 Reorder the terms: 6(-7 + x) + 3(x + -4) = -81 (-7 * 6 + x * 6) + 3(x + -4) = -81 (-42 + 6x) + 3(x + -4) = -81 Reorder the terms: -42 + 6x + 3(-4 + x) = -81 -42 + 6x + (-4 * 3 + x * 3) = -81 -42 + 6x + (-12 + 3x) = -81 Reorder the terms: -42 + -12 + 6x + 3x = -81 Combine like terms: -42 + -12 = -54 -54 + 6x + 3x = -81 Combine like terms: 6x + 3x = 9x -54 + 9x = -81 Solving -54 + 9x = -81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 9x = -81 + 54 Combine like terms: -54 + 54 = 0 0 + 9x = -81 + 54 9x = -81 + 54 Combine like terms: -81 + 54 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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