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Simplifying -3(x + 8) + -2(4x + -3) = -7 Reorder the terms: -3(8 + x) + -2(4x + -3) = -7 (8 * -3 + x * -3) + -2(4x + -3) = -7 (-24 + -3x) + -2(4x + -3) = -7 Reorder the terms: -24 + -3x + -2(-3 + 4x) = -7 -24 + -3x + (-3 * -2 + 4x * -2) = -7 -24 + -3x + (6 + -8x) = -7 Reorder the terms: -24 + 6 + -3x + -8x = -7 Combine like terms: -24 + 6 = -18 -18 + -3x + -8x = -7 Combine like terms: -3x + -8x = -11x -18 + -11x = -7 Solving -18 + -11x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -11x = -7 + 18 Combine like terms: -18 + 18 = 0 0 + -11x = -7 + 18 -11x = -7 + 18 Combine like terms: -7 + 18 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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