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Simplifying 6x + 3 = -2x + 75 Reorder the terms: 3 + 6x = -2x + 75 Reorder the terms: 3 + 6x = 75 + -2x Solving 3 + 6x = 75 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 6x + 2x = 75 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = 75 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = 75 + 0 3 + 8x = 75 Add '-3' to each side of the equation. 3 + -3 + 8x = 75 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 75 + -3 8x = 75 + -3 Combine like terms: 75 + -3 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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