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Simplifying 8(2 + -1x) + -1 = x + 3(-5x + -1) + 7x (2 * 8 + -1x * 8) + -1 = x + 3(-5x + -1) + 7x (16 + -8x) + -1 = x + 3(-5x + -1) + 7x Reorder the terms: 16 + -1 + -8x = x + 3(-5x + -1) + 7x Combine like terms: 16 + -1 = 15 15 + -8x = x + 3(-5x + -1) + 7x Reorder the terms: 15 + -8x = x + 3(-1 + -5x) + 7x 15 + -8x = x + (-1 * 3 + -5x * 3) + 7x 15 + -8x = x + (-3 + -15x) + 7x Reorder the terms: 15 + -8x = -3 + x + -15x + 7x Combine like terms: x + -15x = -14x 15 + -8x = -3 + -14x + 7x Combine like terms: -14x + 7x = -7x 15 + -8x = -3 + -7x Solving 15 + -8x = -3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + -8x + 7x = -3 + -7x + 7x Combine like terms: -8x + 7x = -1x 15 + -1x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + -1x = -3 + 0 15 + -1x = -3 Add '-15' to each side of the equation. 15 + -15 + -1x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -3 + -15 -1x = -3 + -15 Combine like terms: -3 + -15 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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