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Simplifying 4(3x + 1) + 8x = -23 + -7x Reorder the terms: 4(1 + 3x) + 8x = -23 + -7x (1 * 4 + 3x * 4) + 8x = -23 + -7x (4 + 12x) + 8x = -23 + -7x Combine like terms: 12x + 8x = 20x 4 + 20x = -23 + -7x Solving 4 + 20x = -23 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 20x + 7x = -23 + -7x + 7x Combine like terms: 20x + 7x = 27x 4 + 27x = -23 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 27x = -23 + 0 4 + 27x = -23 Add '-4' to each side of the equation. 4 + -4 + 27x = -23 + -4 Combine like terms: 4 + -4 = 0 0 + 27x = -23 + -4 27x = -23 + -4 Combine like terms: -23 + -4 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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