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Simplifying 5x + 45 = 12x + -21 Reorder the terms: 45 + 5x = 12x + -21 Reorder the terms: 45 + 5x = -21 + 12x Solving 45 + 5x = -21 + 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. 45 + 5x + -12x = -21 + 12x + -12x Combine like terms: 5x + -12x = -7x 45 + -7x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + -7x = -21 + 0 45 + -7x = -21 Add '-45' to each side of the equation. 45 + -45 + -7x = -21 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = -21 + -45 -7x = -21 + -45 Combine like terms: -21 + -45 = -66 -7x = -66 Divide each side by '-7'. x = 9.428571429 Simplifying x = 9.428571429
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