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Simplifying (3x + -5) + -6 = 4(x + -9) Reorder the terms: (-5 + 3x) + -6 = 4(x + -9) Remove parenthesis around (-5 + 3x) -5 + 3x + -6 = 4(x + -9) Reorder the terms: -5 + -6 + 3x = 4(x + -9) Combine like terms: -5 + -6 = -11 -11 + 3x = 4(x + -9) Reorder the terms: -11 + 3x = 4(-9 + x) -11 + 3x = (-9 * 4 + x * 4) -11 + 3x = (-36 + 4x) Solving -11 + 3x = -36 + 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. -11 + 3x + -4x = -36 + 4x + -4x Combine like terms: 3x + -4x = -1x -11 + -1x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -1x = -36 + 0 -11 + -1x = -36 Add '11' to each side of the equation. -11 + 11 + -1x = -36 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = -36 + 11 -1x = -36 + 11 Combine like terms: -36 + 11 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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