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Simplifying 5x + -3(3x + 1) + -8x = 45 Reorder the terms: 5x + -3(1 + 3x) + -8x = 45 5x + (1 * -3 + 3x * -3) + -8x = 45 5x + (-3 + -9x) + -8x = 45 Reorder the terms: -3 + 5x + -9x + -8x = 45 Combine like terms: 5x + -9x = -4x -3 + -4x + -8x = 45 Combine like terms: -4x + -8x = -12x -3 + -12x = 45 Solving -3 + -12x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -12x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = 45 + 3 -12x = 45 + 3 Combine like terms: 45 + 3 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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