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Simplifying 4(x + 4) = 3x + 2(1 + -3x) Reorder the terms: 4(4 + x) = 3x + 2(1 + -3x) (4 * 4 + x * 4) = 3x + 2(1 + -3x) (16 + 4x) = 3x + 2(1 + -3x) 16 + 4x = 3x + (1 * 2 + -3x * 2) 16 + 4x = 3x + (2 + -6x) Reorder the terms: 16 + 4x = 2 + 3x + -6x Combine like terms: 3x + -6x = -3x 16 + 4x = 2 + -3x Solving 16 + 4x = 2 + -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. 16 + 4x + 3x = 2 + -3x + 3x Combine like terms: 4x + 3x = 7x 16 + 7x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 7x = 2 + 0 16 + 7x = 2 Add '-16' to each side of the equation. 16 + -16 + 7x = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 2 + -16 7x = 2 + -16 Combine like terms: 2 + -16 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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