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Simplifying 7 + 4(x + -5) = 5 + -7(x + -5) Reorder the terms: 7 + 4(-5 + x) = 5 + -7(x + -5) 7 + (-5 * 4 + x * 4) = 5 + -7(x + -5) 7 + (-20 + 4x) = 5 + -7(x + -5) Combine like terms: 7 + -20 = -13 -13 + 4x = 5 + -7(x + -5) Reorder the terms: -13 + 4x = 5 + -7(-5 + x) -13 + 4x = 5 + (-5 * -7 + x * -7) -13 + 4x = 5 + (35 + -7x) Combine like terms: 5 + 35 = 40 -13 + 4x = 40 + -7x Solving -13 + 4x = 40 + -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 + 4x + 7x = 40 + -7x + 7x Combine like terms: 4x + 7x = 11x -13 + 11x = 40 + -7x + 7x Combine like terms: -7x + 7x = 0 -13 + 11x = 40 + 0 -13 + 11x = 40 Add '13' to each side of the equation. -13 + 13 + 11x = 40 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 40 + 13 11x = 40 + 13 Combine like terms: 40 + 13 = 53 11x = 53 Divide each side by '11'. x = 4.818181818 Simplifying x = 4.818181818
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