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Simplifying 11x + -9(x + -7) = 11(x + 5) + -5x Reorder the terms: 11x + -9(-7 + x) = 11(x + 5) + -5x 11x + (-7 * -9 + x * -9) = 11(x + 5) + -5x 11x + (63 + -9x) = 11(x + 5) + -5x Reorder the terms: 63 + 11x + -9x = 11(x + 5) + -5x Combine like terms: 11x + -9x = 2x 63 + 2x = 11(x + 5) + -5x Reorder the terms: 63 + 2x = 11(5 + x) + -5x 63 + 2x = (5 * 11 + x * 11) + -5x 63 + 2x = (55 + 11x) + -5x Combine like terms: 11x + -5x = 6x 63 + 2x = 55 + 6x Solving 63 + 2x = 55 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 63 + 2x + -6x = 55 + 6x + -6x Combine like terms: 2x + -6x = -4x 63 + -4x = 55 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + -4x = 55 + 0 63 + -4x = 55 Add '-63' to each side of the equation. 63 + -63 + -4x = 55 + -63 Combine like terms: 63 + -63 = 0 0 + -4x = 55 + -63 -4x = 55 + -63 Combine like terms: 55 + -63 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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