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Simplifying 5x + 19 = 12x + -58 Reorder the terms: 19 + 5x = 12x + -58 Reorder the terms: 19 + 5x = -58 + 12x Solving 19 + 5x = -58 + 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. 19 + 5x + -12x = -58 + 12x + -12x Combine like terms: 5x + -12x = -7x 19 + -7x = -58 + 12x + -12x Combine like terms: 12x + -12x = 0 19 + -7x = -58 + 0 19 + -7x = -58 Add '-19' to each side of the equation. 19 + -19 + -7x = -58 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = -58 + -19 -7x = -58 + -19 Combine like terms: -58 + -19 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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