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Simplifying 2(4x + -2) = -3x + 51 Reorder the terms: 2(-2 + 4x) = -3x + 51 (-2 * 2 + 4x * 2) = -3x + 51 (-4 + 8x) = -3x + 51 Reorder the terms: -4 + 8x = 51 + -3x Solving -4 + 8x = 51 + -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. -4 + 8x + 3x = 51 + -3x + 3x Combine like terms: 8x + 3x = 11x -4 + 11x = 51 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 11x = 51 + 0 -4 + 11x = 51 Add '4' to each side of the equation. -4 + 4 + 11x = 51 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 51 + 4 11x = 51 + 4 Combine like terms: 51 + 4 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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