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Simplifying 2(3x + -4) + 11 = 8x + 27 Reorder the terms: 2(-4 + 3x) + 11 = 8x + 27 (-4 * 2 + 3x * 2) + 11 = 8x + 27 (-8 + 6x) + 11 = 8x + 27 Reorder the terms: -8 + 11 + 6x = 8x + 27 Combine like terms: -8 + 11 = 3 3 + 6x = 8x + 27 Reorder the terms: 3 + 6x = 27 + 8x Solving 3 + 6x = 27 + 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. 3 + 6x + -8x = 27 + 8x + -8x Combine like terms: 6x + -8x = -2x 3 + -2x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -2x = 27 + 0 3 + -2x = 27 Add '-3' to each side of the equation. 3 + -3 + -2x = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 27 + -3 -2x = 27 + -3 Combine like terms: 27 + -3 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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