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Simplifying 3(x + 4) = 7 + -4x Reorder the terms: 3(4 + x) = 7 + -4x (4 * 3 + x * 3) = 7 + -4x (12 + 3x) = 7 + -4x Solving 12 + 3x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 3x + 4x = 7 + -4x + 4x Combine like terms: 3x + 4x = 7x 12 + 7x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 7x = 7 + 0 12 + 7x = 7 Add '-12' to each side of the equation. 12 + -12 + 7x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 7 + -12 7x = 7 + -12 Combine like terms: 7 + -12 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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