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Simplifying 4(3x + 2) + -47 = 6x + 3 Reorder the terms: 4(2 + 3x) + -47 = 6x + 3 (2 * 4 + 3x * 4) + -47 = 6x + 3 (8 + 12x) + -47 = 6x + 3 Reorder the terms: 8 + -47 + 12x = 6x + 3 Combine like terms: 8 + -47 = -39 -39 + 12x = 6x + 3 Reorder the terms: -39 + 12x = 3 + 6x Solving -39 + 12x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -39 + 12x + -6x = 3 + 6x + -6x Combine like terms: 12x + -6x = 6x -39 + 6x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -39 + 6x = 3 + 0 -39 + 6x = 3 Add '39' to each side of the equation. -39 + 39 + 6x = 3 + 39 Combine like terms: -39 + 39 = 0 0 + 6x = 3 + 39 6x = 3 + 39 Combine like terms: 3 + 39 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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