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Simplifying 9x + 41 = -4(x + -7) Reorder the terms: 41 + 9x = -4(x + -7) Reorder the terms: 41 + 9x = -4(-7 + x) 41 + 9x = (-7 * -4 + x * -4) 41 + 9x = (28 + -4x) Solving 41 + 9x = 28 + -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. 41 + 9x + 4x = 28 + -4x + 4x Combine like terms: 9x + 4x = 13x 41 + 13x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 41 + 13x = 28 + 0 41 + 13x = 28 Add '-41' to each side of the equation. 41 + -41 + 13x = 28 + -41 Combine like terms: 41 + -41 = 0 0 + 13x = 28 + -41 13x = 28 + -41 Combine like terms: 28 + -41 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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