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Simplifying 5 + 7(x + -6) = 1 + -4(x + -7) Reorder the terms: 5 + 7(-6 + x) = 1 + -4(x + -7) 5 + (-6 * 7 + x * 7) = 1 + -4(x + -7) 5 + (-42 + 7x) = 1 + -4(x + -7) Combine like terms: 5 + -42 = -37 -37 + 7x = 1 + -4(x + -7) Reorder the terms: -37 + 7x = 1 + -4(-7 + x) -37 + 7x = 1 + (-7 * -4 + x * -4) -37 + 7x = 1 + (28 + -4x) Combine like terms: 1 + 28 = 29 -37 + 7x = 29 + -4x Solving -37 + 7x = 29 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -37 + 7x + 4x = 29 + -4x + 4x Combine like terms: 7x + 4x = 11x -37 + 11x = 29 + -4x + 4x Combine like terms: -4x + 4x = 0 -37 + 11x = 29 + 0 -37 + 11x = 29 Add '37' to each side of the equation. -37 + 37 + 11x = 29 + 37 Combine like terms: -37 + 37 = 0 0 + 11x = 29 + 37 11x = 29 + 37 Combine like terms: 29 + 37 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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