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Simplifying 4x + 1 = -3(4x + 2) Reorder the terms: 1 + 4x = -3(4x + 2) Reorder the terms: 1 + 4x = -3(2 + 4x) 1 + 4x = (2 * -3 + 4x * -3) 1 + 4x = (-6 + -12x) Solving 1 + 4x = -6 + -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. 1 + 4x + 12x = -6 + -12x + 12x Combine like terms: 4x + 12x = 16x 1 + 16x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 1 + 16x = -6 + 0 1 + 16x = -6 Add '-1' to each side of the equation. 1 + -1 + 16x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = -6 + -1 16x = -6 + -1 Combine like terms: -6 + -1 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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