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Simplifying 2(8x + 1) = -2 + -1(3x + -4) Reorder the terms: 2(1 + 8x) = -2 + -1(3x + -4) (1 * 2 + 8x * 2) = -2 + -1(3x + -4) (2 + 16x) = -2 + -1(3x + -4) Reorder the terms: 2 + 16x = -2 + -1(-4 + 3x) 2 + 16x = -2 + (-4 * -1 + 3x * -1) 2 + 16x = -2 + (4 + -3x) Combine like terms: -2 + 4 = 2 2 + 16x = 2 + -3x Add '-2' to each side of the equation. 2 + -2 + 16x = 2 + -2 + -3x Combine like terms: 2 + -2 = 0 0 + 16x = 2 + -2 + -3x 16x = 2 + -2 + -3x Combine like terms: 2 + -2 = 0 16x = 0 + -3x 16x = -3x Solving 16x = -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. 16x + 3x = -3x + 3x Combine like terms: 16x + 3x = 19x 19x = -3x + 3x Combine like terms: -3x + 3x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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