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Simplifying 2(4x + 3) = -1(-16 + 2x) Reorder the terms: 2(3 + 4x) = -1(-16 + 2x) (3 * 2 + 4x * 2) = -1(-16 + 2x) (6 + 8x) = -1(-16 + 2x) 6 + 8x = (-16 * -1 + 2x * -1) 6 + 8x = (16 + -2x) Solving 6 + 8x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 8x + 2x = 16 + -2x + 2x Combine like terms: 8x + 2x = 10x 6 + 10x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 10x = 16 + 0 6 + 10x = 16 Add '-6' to each side of the equation. 6 + -6 + 10x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 16 + -6 10x = 16 + -6 Combine like terms: 16 + -6 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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