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Simplifying 5 + 7(x + -6) = 8 + -7(x + -2) Reorder the terms: 5 + 7(-6 + x) = 8 + -7(x + -2) 5 + (-6 * 7 + x * 7) = 8 + -7(x + -2) 5 + (-42 + 7x) = 8 + -7(x + -2) Combine like terms: 5 + -42 = -37 -37 + 7x = 8 + -7(x + -2) Reorder the terms: -37 + 7x = 8 + -7(-2 + x) -37 + 7x = 8 + (-2 * -7 + x * -7) -37 + 7x = 8 + (14 + -7x) Combine like terms: 8 + 14 = 22 -37 + 7x = 22 + -7x Solving -37 + 7x = 22 + -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. -37 + 7x + 7x = 22 + -7x + 7x Combine like terms: 7x + 7x = 14x -37 + 14x = 22 + -7x + 7x Combine like terms: -7x + 7x = 0 -37 + 14x = 22 + 0 -37 + 14x = 22 Add '37' to each side of the equation. -37 + 37 + 14x = 22 + 37 Combine like terms: -37 + 37 = 0 0 + 14x = 22 + 37 14x = 22 + 37 Combine like terms: 22 + 37 = 59 14x = 59 Divide each side by '14'. x = 4.214285714 Simplifying x = 4.214285714
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