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Simplifying 5x + 37 = 12x + -33 Reorder the terms: 37 + 5x = 12x + -33 Reorder the terms: 37 + 5x = -33 + 12x Solving 37 + 5x = -33 + 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. 37 + 5x + -12x = -33 + 12x + -12x Combine like terms: 5x + -12x = -7x 37 + -7x = -33 + 12x + -12x Combine like terms: 12x + -12x = 0 37 + -7x = -33 + 0 37 + -7x = -33 Add '-37' to each side of the equation. 37 + -37 + -7x = -33 + -37 Combine like terms: 37 + -37 = 0 0 + -7x = -33 + -37 -7x = -33 + -37 Combine like terms: -33 + -37 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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