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Simplifying -7x + -1(1 + 8x) = -28 + -6x -7x + (1 * -1 + 8x * -1) = -28 + -6x -7x + (-1 + -8x) = -28 + -6x Reorder the terms: -1 + -7x + -8x = -28 + -6x Combine like terms: -7x + -8x = -15x -1 + -15x = -28 + -6x Solving -1 + -15x = -28 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + -15x + 6x = -28 + -6x + 6x Combine like terms: -15x + 6x = -9x -1 + -9x = -28 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + -9x = -28 + 0 -1 + -9x = -28 Add '1' to each side of the equation. -1 + 1 + -9x = -28 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -28 + 1 -9x = -28 + 1 Combine like terms: -28 + 1 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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