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Simplifying 6(x + -7) = 11(x + 8) Reorder the terms: 6(-7 + x) = 11(x + 8) (-7 * 6 + x * 6) = 11(x + 8) (-42 + 6x) = 11(x + 8) Reorder the terms: -42 + 6x = 11(8 + x) -42 + 6x = (8 * 11 + x * 11) -42 + 6x = (88 + 11x) Solving -42 + 6x = 88 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -42 + 6x + -11x = 88 + 11x + -11x Combine like terms: 6x + -11x = -5x -42 + -5x = 88 + 11x + -11x Combine like terms: 11x + -11x = 0 -42 + -5x = 88 + 0 -42 + -5x = 88 Add '42' to each side of the equation. -42 + 42 + -5x = 88 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = 88 + 42 -5x = 88 + 42 Combine like terms: 88 + 42 = 130 -5x = 130 Divide each side by '-5'. x = -26 Simplifying x = -26
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