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Simplifying -6x + -23(x + 6) = -7(4x + 9) Reorder the terms: -6x + -23(6 + x) = -7(4x + 9) -6x + (6 * -23 + x * -23) = -7(4x + 9) -6x + (-138 + -23x) = -7(4x + 9) Reorder the terms: -138 + -6x + -23x = -7(4x + 9) Combine like terms: -6x + -23x = -29x -138 + -29x = -7(4x + 9) Reorder the terms: -138 + -29x = -7(9 + 4x) -138 + -29x = (9 * -7 + 4x * -7) -138 + -29x = (-63 + -28x) Solving -138 + -29x = -63 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -138 + -29x + 28x = -63 + -28x + 28x Combine like terms: -29x + 28x = -1x -138 + -1x = -63 + -28x + 28x Combine like terms: -28x + 28x = 0 -138 + -1x = -63 + 0 -138 + -1x = -63 Add '138' to each side of the equation. -138 + 138 + -1x = -63 + 138 Combine like terms: -138 + 138 = 0 0 + -1x = -63 + 138 -1x = -63 + 138 Combine like terms: -63 + 138 = 75 -1x = 75 Divide each side by '-1'. x = -75 Simplifying x = -75
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