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Simplifying 6x + 12 = -58 + 13x Reorder the terms: 12 + 6x = -58 + 13x Solving 12 + 6x = -58 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 6x + -13x = -58 + 13x + -13x Combine like terms: 6x + -13x = -7x 12 + -7x = -58 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -7x = -58 + 0 12 + -7x = -58 Add '-12' to each side of the equation. 12 + -12 + -7x = -58 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -58 + -12 -7x = -58 + -12 Combine like terms: -58 + -12 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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