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Simplifying x + -69 = 7(2x + 3) + -11 Reorder the terms: -69 + x = 7(2x + 3) + -11 Reorder the terms: -69 + x = 7(3 + 2x) + -11 -69 + x = (3 * 7 + 2x * 7) + -11 -69 + x = (21 + 14x) + -11 Reorder the terms: -69 + x = 21 + -11 + 14x Combine like terms: 21 + -11 = 10 -69 + x = 10 + 14x Solving -69 + x = 10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -69 + x + -14x = 10 + 14x + -14x Combine like terms: x + -14x = -13x -69 + -13x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 -69 + -13x = 10 + 0 -69 + -13x = 10 Add '69' to each side of the equation. -69 + 69 + -13x = 10 + 69 Combine like terms: -69 + 69 = 0 0 + -13x = 10 + 69 -13x = 10 + 69 Combine like terms: 10 + 69 = 79 -13x = 79 Divide each side by '-13'. x = -6.076923077 Simplifying x = -6.076923077
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