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Simplifying -8x + 3(5x + -1) + 15 = -5x + 6 Reorder the terms: -8x + 3(-1 + 5x) + 15 = -5x + 6 -8x + (-1 * 3 + 5x * 3) + 15 = -5x + 6 -8x + (-3 + 15x) + 15 = -5x + 6 Reorder the terms: -3 + 15 + -8x + 15x = -5x + 6 Combine like terms: -3 + 15 = 12 12 + -8x + 15x = -5x + 6 Combine like terms: -8x + 15x = 7x 12 + 7x = -5x + 6 Reorder the terms: 12 + 7x = 6 + -5x Solving 12 + 7x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 7x + 5x = 6 + -5x + 5x Combine like terms: 7x + 5x = 12x 12 + 12x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 12x = 6 + 0 12 + 12x = 6 Add '-12' to each side of the equation. 12 + -12 + 12x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 6 + -12 12x = 6 + -12 Combine like terms: 6 + -12 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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