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Simplifying 2 * 3x + -7 = 3 * 4x + 5 Multiply 2 * 3 6x + -7 = 3 * 4x + 5 Reorder the terms: -7 + 6x = 3 * 4x + 5 Multiply 3 * 4 -7 + 6x = 12x + 5 Reorder the terms: -7 + 6x = 5 + 12x Solving -7 + 6x = 5 + 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. -7 + 6x + -12x = 5 + 12x + -12x Combine like terms: 6x + -12x = -6x -7 + -6x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -6x = 5 + 0 -7 + -6x = 5 Add '7' to each side of the equation. -7 + 7 + -6x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 5 + 7 -6x = 5 + 7 Combine like terms: 5 + 7 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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