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Simplifying -2(8x + 11) = 6(-4x + -13) Reorder the terms: -2(11 + 8x) = 6(-4x + -13) (11 * -2 + 8x * -2) = 6(-4x + -13) (-22 + -16x) = 6(-4x + -13) Reorder the terms: -22 + -16x = 6(-13 + -4x) -22 + -16x = (-13 * 6 + -4x * 6) -22 + -16x = (-78 + -24x) Solving -22 + -16x = -78 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -22 + -16x + 24x = -78 + -24x + 24x Combine like terms: -16x + 24x = 8x -22 + 8x = -78 + -24x + 24x Combine like terms: -24x + 24x = 0 -22 + 8x = -78 + 0 -22 + 8x = -78 Add '22' to each side of the equation. -22 + 22 + 8x = -78 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = -78 + 22 8x = -78 + 22 Combine like terms: -78 + 22 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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