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Simplifying -6(x + 8) = 2x + -16 Reorder the terms: -6(8 + x) = 2x + -16 (8 * -6 + x * -6) = 2x + -16 (-48 + -6x) = 2x + -16 Reorder the terms: -48 + -6x = -16 + 2x Solving -48 + -6x = -16 + 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. -48 + -6x + -2x = -16 + 2x + -2x Combine like terms: -6x + -2x = -8x -48 + -8x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + -8x = -16 + 0 -48 + -8x = -16 Add '48' to each side of the equation. -48 + 48 + -8x = -16 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = -16 + 48 -8x = -16 + 48 Combine like terms: -16 + 48 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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