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Simplifying -8(x + 2) = -2(x + -13) Reorder the terms: -8(2 + x) = -2(x + -13) (2 * -8 + x * -8) = -2(x + -13) (-16 + -8x) = -2(x + -13) Reorder the terms: -16 + -8x = -2(-13 + x) -16 + -8x = (-13 * -2 + x * -2) -16 + -8x = (26 + -2x) Solving -16 + -8x = 26 + -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. -16 + -8x + 2x = 26 + -2x + 2x Combine like terms: -8x + 2x = -6x -16 + -6x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + -6x = 26 + 0 -16 + -6x = 26 Add '16' to each side of the equation. -16 + 16 + -6x = 26 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 26 + 16 -6x = 26 + 16 Combine like terms: 26 + 16 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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