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Simplifying 3x + 40 = -2(-1 + 8x) Reorder the terms: 40 + 3x = -2(-1 + 8x) 40 + 3x = (-1 * -2 + 8x * -2) 40 + 3x = (2 + -16x) Solving 40 + 3x = 2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 40 + 3x + 16x = 2 + -16x + 16x Combine like terms: 3x + 16x = 19x 40 + 19x = 2 + -16x + 16x Combine like terms: -16x + 16x = 0 40 + 19x = 2 + 0 40 + 19x = 2 Add '-40' to each side of the equation. 40 + -40 + 19x = 2 + -40 Combine like terms: 40 + -40 = 0 0 + 19x = 2 + -40 19x = 2 + -40 Combine like terms: 2 + -40 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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