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Simplifying 5x + -3 = 12x + 45 Reorder the terms: -3 + 5x = 12x + 45 Reorder the terms: -3 + 5x = 45 + 12x Solving -3 + 5x = 45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 5x + -12x = 45 + 12x + -12x Combine like terms: 5x + -12x = -7x -3 + -7x = 45 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -7x = 45 + 0 -3 + -7x = 45 Add '3' to each side of the equation. -3 + 3 + -7x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 45 + 3 -7x = 45 + 3 Combine like terms: 45 + 3 = 48 -7x = 48 Divide each side by '-7'. x = -6.857142857 Simplifying x = -6.857142857
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