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Simplifying 12x + 5 = 15x + -7 Reorder the terms: 5 + 12x = 15x + -7 Reorder the terms: 5 + 12x = -7 + 15x Solving 5 + 12x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + 12x + -15x = -7 + 15x + -15x Combine like terms: 12x + -15x = -3x 5 + -3x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -3x = -7 + 0 5 + -3x = -7 Add '-5' to each side of the equation. 5 + -5 + -3x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -7 + -5 -3x = -7 + -5 Combine like terms: -7 + -5 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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