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Simplifying 6(5x + -5) + 3(16 + -3x) + -4(5x + 1) = -1 Reorder the terms: 6(-5 + 5x) + 3(16 + -3x) + -4(5x + 1) = -1 (-5 * 6 + 5x * 6) + 3(16 + -3x) + -4(5x + 1) = -1 (-30 + 30x) + 3(16 + -3x) + -4(5x + 1) = -1 -30 + 30x + (16 * 3 + -3x * 3) + -4(5x + 1) = -1 -30 + 30x + (48 + -9x) + -4(5x + 1) = -1 Reorder the terms: -30 + 30x + 48 + -9x + -4(1 + 5x) = -1 -30 + 30x + 48 + -9x + (1 * -4 + 5x * -4) = -1 -30 + 30x + 48 + -9x + (-4 + -20x) = -1 Reorder the terms: -30 + 48 + -4 + 30x + -9x + -20x = -1 Combine like terms: -30 + 48 = 18 18 + -4 + 30x + -9x + -20x = -1 Combine like terms: 18 + -4 = 14 14 + 30x + -9x + -20x = -1 Combine like terms: 30x + -9x = 21x 14 + 21x + -20x = -1 Combine like terms: 21x + -20x = 1x 14 + 1x = -1 Solving 14 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -1 + -14 1x = -1 + -14 Combine like terms: -1 + -14 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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