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Simplifying 2(3x + 1) = 5x + -7x Reorder the terms: 2(1 + 3x) = 5x + -7x (1 * 2 + 3x * 2) = 5x + -7x (2 + 6x) = 5x + -7x Combine like terms: 5x + -7x = -2x 2 + 6x = -2x Solving 2 + 6x = -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. 2 + 6x + 2x = -2x + 2x Combine like terms: 6x + 2x = 8x 2 + 8x = -2x + 2x Combine like terms: -2x + 2x = 0 2 + 8x = 0 Add '-2' to each side of the equation. 2 + -2 + 8x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 0 + -2 8x = 0 + -2 Combine like terms: 0 + -2 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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