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Simplifying 2(4x + -8) + 8(x + 11) = 2x + 6x Reorder the terms: 2(-8 + 4x) + 8(x + 11) = 2x + 6x (-8 * 2 + 4x * 2) + 8(x + 11) = 2x + 6x (-16 + 8x) + 8(x + 11) = 2x + 6x Reorder the terms: -16 + 8x + 8(11 + x) = 2x + 6x -16 + 8x + (11 * 8 + x * 8) = 2x + 6x -16 + 8x + (88 + 8x) = 2x + 6x Reorder the terms: -16 + 88 + 8x + 8x = 2x + 6x Combine like terms: -16 + 88 = 72 72 + 8x + 8x = 2x + 6x Combine like terms: 8x + 8x = 16x 72 + 16x = 2x + 6x Combine like terms: 2x + 6x = 8x 72 + 16x = 8x Solving 72 + 16x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 72 + 16x + -8x = 8x + -8x Combine like terms: 16x + -8x = 8x 72 + 8x = 8x + -8x Combine like terms: 8x + -8x = 0 72 + 8x = 0 Add '-72' to each side of the equation. 72 + -72 + 8x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 8x = 0 + -72 8x = 0 + -72 Combine like terms: 0 + -72 = -72 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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