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Simplifying 4x + -7 + 3(x + 2) = 12x + 5 Reorder the terms: 4x + -7 + 3(2 + x) = 12x + 5 4x + -7 + (2 * 3 + x * 3) = 12x + 5 4x + -7 + (6 + 3x) = 12x + 5 Reorder the terms: -7 + 6 + 4x + 3x = 12x + 5 Combine like terms: -7 + 6 = -1 -1 + 4x + 3x = 12x + 5 Combine like terms: 4x + 3x = 7x -1 + 7x = 12x + 5 Reorder the terms: -1 + 7x = 5 + 12x Solving -1 + 7x = 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. -1 + 7x + -12x = 5 + 12x + -12x Combine like terms: 7x + -12x = -5x -1 + -5x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -5x = 5 + 0 -1 + -5x = 5 Add '1' to each side of the equation. -1 + 1 + -5x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 5 + 1 -5x = 5 + 1 Combine like terms: 5 + 1 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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