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Simplifying 5 + 7(x + -9) = 11 + -4(x + -6) Reorder the terms: 5 + 7(-9 + x) = 11 + -4(x + -6) 5 + (-9 * 7 + x * 7) = 11 + -4(x + -6) 5 + (-63 + 7x) = 11 + -4(x + -6) Combine like terms: 5 + -63 = -58 -58 + 7x = 11 + -4(x + -6) Reorder the terms: -58 + 7x = 11 + -4(-6 + x) -58 + 7x = 11 + (-6 * -4 + x * -4) -58 + 7x = 11 + (24 + -4x) Combine like terms: 11 + 24 = 35 -58 + 7x = 35 + -4x Solving -58 + 7x = 35 + -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. -58 + 7x + 4x = 35 + -4x + 4x Combine like terms: 7x + 4x = 11x -58 + 11x = 35 + -4x + 4x Combine like terms: -4x + 4x = 0 -58 + 11x = 35 + 0 -58 + 11x = 35 Add '58' to each side of the equation. -58 + 58 + 11x = 35 + 58 Combine like terms: -58 + 58 = 0 0 + 11x = 35 + 58 11x = 35 + 58 Combine like terms: 35 + 58 = 93 11x = 93 Divide each side by '11'. x = 8.454545455 Simplifying x = 8.454545455
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