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Simplifying 8x + -3 = 5(4x + 9) Reorder the terms: -3 + 8x = 5(4x + 9) Reorder the terms: -3 + 8x = 5(9 + 4x) -3 + 8x = (9 * 5 + 4x * 5) -3 + 8x = (45 + 20x) Solving -3 + 8x = 45 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -3 + 8x + -20x = 45 + 20x + -20x Combine like terms: 8x + -20x = -12x -3 + -12x = 45 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + -12x = 45 + 0 -3 + -12x = 45 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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