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Simplifying 2(4x + -4) + 7 = 3x + 27 Reorder the terms: 2(-4 + 4x) + 7 = 3x + 27 (-4 * 2 + 4x * 2) + 7 = 3x + 27 (-8 + 8x) + 7 = 3x + 27 Reorder the terms: -8 + 7 + 8x = 3x + 27 Combine like terms: -8 + 7 = -1 -1 + 8x = 3x + 27 Reorder the terms: -1 + 8x = 27 + 3x Solving -1 + 8x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 8x + -3x = 27 + 3x + -3x Combine like terms: 8x + -3x = 5x -1 + 5x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 5x = 27 + 0 -1 + 5x = 27 Add '1' to each side of the equation. -1 + 1 + 5x = 27 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 27 + 1 5x = 27 + 1 Combine like terms: 27 + 1 = 28 5x = 28 Divide each side by '5'. x = 5.6 Simplifying x = 5.6
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