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Simplifying -135 = 5x + 3(-4x + -17) Reorder the terms: -135 = 5x + 3(-17 + -4x) -135 = 5x + (-17 * 3 + -4x * 3) -135 = 5x + (-51 + -12x) Reorder the terms: -135 = -51 + 5x + -12x Combine like terms: 5x + -12x = -7x -135 = -51 + -7x Solving -135 = -51 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -135 + 7x = -51 + -7x + 7x Combine like terms: -7x + 7x = 0 -135 + 7x = -51 + 0 -135 + 7x = -51 Add '135' to each side of the equation. -135 + 135 + 7x = -51 + 135 Combine like terms: -135 + 135 = 0 0 + 7x = -51 + 135 7x = -51 + 135 Combine like terms: -51 + 135 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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