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Simplifying 1 + 7(x + -2) = 11 + -7(x + -6) Reorder the terms: 1 + 7(-2 + x) = 11 + -7(x + -6) 1 + (-2 * 7 + x * 7) = 11 + -7(x + -6) 1 + (-14 + 7x) = 11 + -7(x + -6) Combine like terms: 1 + -14 = -13 -13 + 7x = 11 + -7(x + -6) Reorder the terms: -13 + 7x = 11 + -7(-6 + x) -13 + 7x = 11 + (-6 * -7 + x * -7) -13 + 7x = 11 + (42 + -7x) Combine like terms: 11 + 42 = 53 -13 + 7x = 53 + -7x Solving -13 + 7x = 53 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -13 + 7x + 7x = 53 + -7x + 7x Combine like terms: 7x + 7x = 14x -13 + 14x = 53 + -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 14x = 53 + 0 -13 + 14x = 53 Add '13' to each side of the equation. -13 + 13 + 14x = 53 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 53 + 13 14x = 53 + 13 Combine like terms: 53 + 13 = 66 14x = 66 Divide each side by '14'. x = 4.714285714 Simplifying x = 4.714285714
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