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Simplifying 3x + 13 = 7x + -12 Reorder the terms: 13 + 3x = 7x + -12 Reorder the terms: 13 + 3x = -12 + 7x Solving 13 + 3x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 3x + -7x = -12 + 7x + -7x Combine like terms: 3x + -7x = -4x 13 + -4x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -4x = -12 + 0 13 + -4x = -12 Add '-13' to each side of the equation. 13 + -13 + -4x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -12 + -13 -4x = -12 + -13 Combine like terms: -12 + -13 = -25 -4x = -25 Divide each side by '-4'. x = 6.25 Simplifying x = 6.25
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