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Simplifying -55 = 7x + -6(x + 11) Reorder the terms: -55 = 7x + -6(11 + x) -55 = 7x + (11 * -6 + x * -6) -55 = 7x + (-66 + -6x) Reorder the terms: -55 = -66 + 7x + -6x Combine like terms: 7x + -6x = 1x -55 = -66 + 1x Solving -55 = -66 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -55 + -1x = -66 + 1x + -1x Combine like terms: 1x + -1x = 0 -55 + -1x = -66 + 0 -55 + -1x = -66 Add '55' to each side of the equation. -55 + 55 + -1x = -66 + 55 Combine like terms: -55 + 55 = 0 0 + -1x = -66 + 55 -1x = -66 + 55 Combine like terms: -66 + 55 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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