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Simplifying -135 = 6x + -7(-4x + -5) Reorder the terms: -135 = 6x + -7(-5 + -4x) -135 = 6x + (-5 * -7 + -4x * -7) -135 = 6x + (35 + 28x) Reorder the terms: -135 = 35 + 6x + 28x Combine like terms: 6x + 28x = 34x -135 = 35 + 34x Solving -135 = 35 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -135 + -34x = 35 + 34x + -34x Combine like terms: 34x + -34x = 0 -135 + -34x = 35 + 0 -135 + -34x = 35 Add '135' to each side of the equation. -135 + 135 + -34x = 35 + 135 Combine like terms: -135 + 135 = 0 0 + -34x = 35 + 135 -34x = 35 + 135 Combine like terms: 35 + 135 = 170 -34x = 170 Divide each side by '-34'. x = -5 Simplifying x = -5
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