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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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