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Simplifying 7(x + 1) = 4 + 4(3x + -2) Reorder the terms: 7(1 + x) = 4 + 4(3x + -2) (1 * 7 + x * 7) = 4 + 4(3x + -2) (7 + 7x) = 4 + 4(3x + -2) Reorder the terms: 7 + 7x = 4 + 4(-2 + 3x) 7 + 7x = 4 + (-2 * 4 + 3x * 4) 7 + 7x = 4 + (-8 + 12x) Combine like terms: 4 + -8 = -4 7 + 7x = -4 + 12x Solving 7 + 7x = -4 + 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 = -4 + 12x + -12x Combine like terms: 7x + -12x = -5x 7 + -5x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -5x = -4 + 0 7 + -5x = -4 Add '-7' to each side of the equation. 7 + -7 + -5x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -4 + -7 -5x = -4 + -7 Combine like terms: -4 + -7 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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