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Simplifying 8 + -7(2x + 1) = -6x + -7 Reorder the terms: 8 + -7(1 + 2x) = -6x + -7 8 + (1 * -7 + 2x * -7) = -6x + -7 8 + (-7 + -14x) = -6x + -7 Combine like terms: 8 + -7 = 1 1 + -14x = -6x + -7 Reorder the terms: 1 + -14x = -7 + -6x Solving 1 + -14x = -7 + -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 + -14x + 6x = -7 + -6x + 6x Combine like terms: -14x + 6x = -8x 1 + -8x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + -8x = -7 + 0 1 + -8x = -7 Add '-1' to each side of the equation. 1 + -1 + -8x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -7 + -1 -8x = -7 + -1 Combine like terms: -7 + -1 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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