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Simplifying 8(x + 4) = 45 + -3x Reorder the terms: 8(4 + x) = 45 + -3x (4 * 8 + x * 8) = 45 + -3x (32 + 8x) = 45 + -3x Solving 32 + 8x = 45 + -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. 32 + 8x + 3x = 45 + -3x + 3x Combine like terms: 8x + 3x = 11x 32 + 11x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 32 + 11x = 45 + 0 32 + 11x = 45 Add '-32' to each side of the equation. 32 + -32 + 11x = 45 + -32 Combine like terms: 32 + -32 = 0 0 + 11x = 45 + -32 11x = 45 + -32 Combine like terms: 45 + -32 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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