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Simplifying 7(x + -4) + -9(x + 11) = 55 Reorder the terms: 7(-4 + x) + -9(x + 11) = 55 (-4 * 7 + x * 7) + -9(x + 11) = 55 (-28 + 7x) + -9(x + 11) = 55 Reorder the terms: -28 + 7x + -9(11 + x) = 55 -28 + 7x + (11 * -9 + x * -9) = 55 -28 + 7x + (-99 + -9x) = 55 Reorder the terms: -28 + -99 + 7x + -9x = 55 Combine like terms: -28 + -99 = -127 -127 + 7x + -9x = 55 Combine like terms: 7x + -9x = -2x -127 + -2x = 55 Solving -127 + -2x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '127' to each side of the equation. -127 + 127 + -2x = 55 + 127 Combine like terms: -127 + 127 = 0 0 + -2x = 55 + 127 -2x = 55 + 127 Combine like terms: 55 + 127 = 182 -2x = 182 Divide each side by '-2'. x = -91 Simplifying x = -91
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