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Simplifying 3(5x + -1) + 3(2 + -2x) + -2(4x + 1) = -1 Reorder the terms: 3(-1 + 5x) + 3(2 + -2x) + -2(4x + 1) = -1 (-1 * 3 + 5x * 3) + 3(2 + -2x) + -2(4x + 1) = -1 (-3 + 15x) + 3(2 + -2x) + -2(4x + 1) = -1 -3 + 15x + (2 * 3 + -2x * 3) + -2(4x + 1) = -1 -3 + 15x + (6 + -6x) + -2(4x + 1) = -1 Reorder the terms: -3 + 15x + 6 + -6x + -2(1 + 4x) = -1 -3 + 15x + 6 + -6x + (1 * -2 + 4x * -2) = -1 -3 + 15x + 6 + -6x + (-2 + -8x) = -1 Reorder the terms: -3 + 6 + -2 + 15x + -6x + -8x = -1 Combine like terms: -3 + 6 = 3 3 + -2 + 15x + -6x + -8x = -1 Combine like terms: 3 + -2 = 1 1 + 15x + -6x + -8x = -1 Combine like terms: 15x + -6x = 9x 1 + 9x + -8x = -1 Combine like terms: 9x + -8x = 1x 1 + 1x = -1 Solving 1 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -1 + -1 1x = -1 + -1 Combine like terms: -1 + -1 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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