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Simplifying 7(x + 1) = (3x + 6) * 4 Reorder the terms: 7(1 + x) = (3x + 6) * 4 (1 * 7 + x * 7) = (3x + 6) * 4 (7 + 7x) = (3x + 6) * 4 Reorder the terms: 7 + 7x = (6 + 3x) * 4 Reorder the terms for easier multiplication: 7 + 7x = 4(6 + 3x) 7 + 7x = (6 * 4 + 3x * 4) 7 + 7x = (24 + 12x) Solving 7 + 7x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 7x + -12x = 24 + 12x + -12x Combine like terms: 7x + -12x = -5x 7 + -5x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -5x = 24 + 0 7 + -5x = 24 Add '-7' to each side of the equation. 7 + -7 + -5x = 24 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 24 + -7 -5x = 24 + -7 Combine like terms: 24 + -7 = 17 -5x = 17 Divide each side by '-5'. x = -3.4 Simplifying x = -3.4
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