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Simplifying 3(5x + -1) + 3(15 + -2x) + -2(4x + 1) = 0 Reorder the terms: 3(-1 + 5x) + 3(15 + -2x) + -2(4x + 1) = 0 (-1 * 3 + 5x * 3) + 3(15 + -2x) + -2(4x + 1) = 0 (-3 + 15x) + 3(15 + -2x) + -2(4x + 1) = 0 -3 + 15x + (15 * 3 + -2x * 3) + -2(4x + 1) = 0 -3 + 15x + (45 + -6x) + -2(4x + 1) = 0 Reorder the terms: -3 + 15x + 45 + -6x + -2(1 + 4x) = 0 -3 + 15x + 45 + -6x + (1 * -2 + 4x * -2) = 0 -3 + 15x + 45 + -6x + (-2 + -8x) = 0 Reorder the terms: -3 + 45 + -2 + 15x + -6x + -8x = 0 Combine like terms: -3 + 45 = 42 42 + -2 + 15x + -6x + -8x = 0 Combine like terms: 42 + -2 = 40 40 + 15x + -6x + -8x = 0 Combine like terms: 15x + -6x = 9x 40 + 9x + -8x = 0 Combine like terms: 9x + -8x = 1x 40 + 1x = 0 Solving 40 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 0 + -40 1x = 0 + -40 Combine like terms: 0 + -40 = -40 1x = -40 Divide each side by '1'. x = -40 Simplifying x = -40
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