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Simplifying 7x + -1(x + 8) = 2x + -36 Reorder the terms: 7x + -1(8 + x) = 2x + -36 7x + (8 * -1 + x * -1) = 2x + -36 7x + (-8 + -1x) = 2x + -36 Reorder the terms: -8 + 7x + -1x = 2x + -36 Combine like terms: 7x + -1x = 6x -8 + 6x = 2x + -36 Reorder the terms: -8 + 6x = -36 + 2x Solving -8 + 6x = -36 + 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. -8 + 6x + -2x = -36 + 2x + -2x Combine like terms: 6x + -2x = 4x -8 + 4x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 4x = -36 + 0 -8 + 4x = -36 Add '8' to each side of the equation. -8 + 8 + 4x = -36 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -36 + 8 4x = -36 + 8 Combine like terms: -36 + 8 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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