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Simplifying 4(2x + 3) = 48 + -1(3x + 1) Reorder the terms: 4(3 + 2x) = 48 + -1(3x + 1) (3 * 4 + 2x * 4) = 48 + -1(3x + 1) (12 + 8x) = 48 + -1(3x + 1) Reorder the terms: 12 + 8x = 48 + -1(1 + 3x) 12 + 8x = 48 + (1 * -1 + 3x * -1) 12 + 8x = 48 + (-1 + -3x) Combine like terms: 48 + -1 = 47 12 + 8x = 47 + -3x Solving 12 + 8x = 47 + -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. 12 + 8x + 3x = 47 + -3x + 3x Combine like terms: 8x + 3x = 11x 12 + 11x = 47 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 11x = 47 + 0 12 + 11x = 47 Add '-12' to each side of the equation. 12 + -12 + 11x = 47 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 47 + -12 11x = 47 + -12 Combine like terms: 47 + -12 = 35 11x = 35 Divide each side by '11'. x = 3.181818182 Simplifying x = 3.181818182
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