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Simplifying -7(4x + -9) = 11(-3x + 8) Reorder the terms: -7(-9 + 4x) = 11(-3x + 8) (-9 * -7 + 4x * -7) = 11(-3x + 8) (63 + -28x) = 11(-3x + 8) Reorder the terms: 63 + -28x = 11(8 + -3x) 63 + -28x = (8 * 11 + -3x * 11) 63 + -28x = (88 + -33x) Solving 63 + -28x = 88 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 63 + -28x + 33x = 88 + -33x + 33x Combine like terms: -28x + 33x = 5x 63 + 5x = 88 + -33x + 33x Combine like terms: -33x + 33x = 0 63 + 5x = 88 + 0 63 + 5x = 88 Add '-63' to each side of the equation. 63 + -63 + 5x = 88 + -63 Combine like terms: 63 + -63 = 0 0 + 5x = 88 + -63 5x = 88 + -63 Combine like terms: 88 + -63 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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