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Simplifying 4(3x + 3) + -51 = 8x + -3 Reorder the terms: 4(3 + 3x) + -51 = 8x + -3 (3 * 4 + 3x * 4) + -51 = 8x + -3 (12 + 12x) + -51 = 8x + -3 Reorder the terms: 12 + -51 + 12x = 8x + -3 Combine like terms: 12 + -51 = -39 -39 + 12x = 8x + -3 Reorder the terms: -39 + 12x = -3 + 8x Solving -39 + 12x = -3 + 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. -39 + 12x + -8x = -3 + 8x + -8x Combine like terms: 12x + -8x = 4x -39 + 4x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 -39 + 4x = -3 + 0 -39 + 4x = -3 Add '39' to each side of the equation. -39 + 39 + 4x = -3 + 39 Combine like terms: -39 + 39 = 0 0 + 4x = -3 + 39 4x = -3 + 39 Combine like terms: -3 + 39 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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