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Simplifying 3(5x + -2) + 3(9 + -2x) + -2(4x + 1) = -1 Reorder the terms: 3(-2 + 5x) + 3(9 + -2x) + -2(4x + 1) = -1 (-2 * 3 + 5x * 3) + 3(9 + -2x) + -2(4x + 1) = -1 (-6 + 15x) + 3(9 + -2x) + -2(4x + 1) = -1 -6 + 15x + (9 * 3 + -2x * 3) + -2(4x + 1) = -1 -6 + 15x + (27 + -6x) + -2(4x + 1) = -1 Reorder the terms: -6 + 15x + 27 + -6x + -2(1 + 4x) = -1 -6 + 15x + 27 + -6x + (1 * -2 + 4x * -2) = -1 -6 + 15x + 27 + -6x + (-2 + -8x) = -1 Reorder the terms: -6 + 27 + -2 + 15x + -6x + -8x = -1 Combine like terms: -6 + 27 = 21 21 + -2 + 15x + -6x + -8x = -1 Combine like terms: 21 + -2 = 19 19 + 15x + -6x + -8x = -1 Combine like terms: 15x + -6x = 9x 19 + 9x + -8x = -1 Combine like terms: 9x + -8x = 1x 19 + 1x = -1 Solving 19 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = -1 + -19 1x = -1 + -19 Combine like terms: -1 + -19 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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