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Simplifying 4x + -49 = -9(x + -9) Reorder the terms: -49 + 4x = -9(x + -9) Reorder the terms: -49 + 4x = -9(-9 + x) -49 + 4x = (-9 * -9 + x * -9) -49 + 4x = (81 + -9x) Solving -49 + 4x = 81 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -49 + 4x + 9x = 81 + -9x + 9x Combine like terms: 4x + 9x = 13x -49 + 13x = 81 + -9x + 9x Combine like terms: -9x + 9x = 0 -49 + 13x = 81 + 0 -49 + 13x = 81 Add '49' to each side of the equation. -49 + 49 + 13x = 81 + 49 Combine like terms: -49 + 49 = 0 0 + 13x = 81 + 49 13x = 81 + 49 Combine like terms: 81 + 49 = 130 13x = 130 Divide each side by '13'. x = 10 Simplifying x = 10
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