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Simplifying 4(3x + 8) = (49 + -6x) + -3 Reorder the terms: 4(8 + 3x) = (49 + -6x) + -3 (8 * 4 + 3x * 4) = (49 + -6x) + -3 (32 + 12x) = (49 + -6x) + -3 Remove parenthesis around (49 + -6x) 32 + 12x = 49 + -6x + -3 Reorder the terms: 32 + 12x = 49 + -3 + -6x Combine like terms: 49 + -3 = 46 32 + 12x = 46 + -6x Solving 32 + 12x = 46 + -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. 32 + 12x + 6x = 46 + -6x + 6x Combine like terms: 12x + 6x = 18x 32 + 18x = 46 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + 18x = 46 + 0 32 + 18x = 46 Add '-32' to each side of the equation. 32 + -32 + 18x = 46 + -32 Combine like terms: 32 + -32 = 0 0 + 18x = 46 + -32 18x = 46 + -32 Combine like terms: 46 + -32 = 14 18x = 14 Divide each side by '18'. x = 0.7777777778 Simplifying x = 0.7777777778
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