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Simplifying 6x + -12 = 13x + -33 Reorder the terms: -12 + 6x = 13x + -33 Reorder the terms: -12 + 6x = -33 + 13x Solving -12 + 6x = -33 + 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 = -33 + 13x + -13x Combine like terms: 6x + -13x = -7x -12 + -7x = -33 + 13x + -13x Combine like terms: 13x + -13x = 0 -12 + -7x = -33 + 0 -12 + -7x = -33 Add '12' to each side of the equation. -12 + 12 + -7x = -33 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -33 + 12 -7x = -33 + 12 Combine like terms: -33 + 12 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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