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Simplifying 3(5x + -2) + 1 = 8x + -7 Reorder the terms: 3(-2 + 5x) + 1 = 8x + -7 (-2 * 3 + 5x * 3) + 1 = 8x + -7 (-6 + 15x) + 1 = 8x + -7 Reorder the terms: -6 + 1 + 15x = 8x + -7 Combine like terms: -6 + 1 = -5 -5 + 15x = 8x + -7 Reorder the terms: -5 + 15x = -7 + 8x Solving -5 + 15x = -7 + 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. -5 + 15x + -8x = -7 + 8x + -8x Combine like terms: 15x + -8x = 7x -5 + 7x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 7x = -7 + 0 -5 + 7x = -7 Add '5' to each side of the equation. -5 + 5 + 7x = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -7 + 5 7x = -7 + 5 Combine like terms: -7 + 5 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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