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Simplifying 135 = x + 4(x + -9) + (x + -9) Reorder the terms: 135 = x + 4(-9 + x) + (x + -9) 135 = x + (-9 * 4 + x * 4) + (x + -9) 135 = x + (-36 + 4x) + (x + -9) Reorder the terms: 135 = x + -36 + 4x + (-9 + x) Remove parenthesis around (-9 + x) 135 = x + -36 + 4x + -9 + x Reorder the terms: 135 = -36 + -9 + x + 4x + x Combine like terms: -36 + -9 = -45 135 = -45 + x + 4x + x Combine like terms: x + 4x = 5x 135 = -45 + 5x + x Combine like terms: 5x + x = 6x 135 = -45 + 6x Solving 135 = -45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 135 + -6x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 135 + -6x = -45 + 0 135 + -6x = -45 Add '-135' to each side of the equation. 135 + -135 + -6x = -45 + -135 Combine like terms: 135 + -135 = 0 0 + -6x = -45 + -135 -6x = -45 + -135 Combine like terms: -45 + -135 = -180 -6x = -180 Divide each side by '-6'. x = 30 Simplifying x = 30
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