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Simplifying -75 = 6x + -7(2x + 5) Reorder the terms: -75 = 6x + -7(5 + 2x) -75 = 6x + (5 * -7 + 2x * -7) -75 = 6x + (-35 + -14x) Reorder the terms: -75 = -35 + 6x + -14x Combine like terms: 6x + -14x = -8x -75 = -35 + -8x Solving -75 = -35 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -75 + 8x = -35 + -8x + 8x Combine like terms: -8x + 8x = 0 -75 + 8x = -35 + 0 -75 + 8x = -35 Add '75' to each side of the equation. -75 + 75 + 8x = -35 + 75 Combine like terms: -75 + 75 = 0 0 + 8x = -35 + 75 8x = -35 + 75 Combine like terms: -35 + 75 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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