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Simplifying 4(3 + 1) + -7x = 6 + 5x + -2 Combine like terms: 3 + 1 = 4 4(4) + -7x = 6 + 5x + -2 Multiply 4 * 4 16 + -7x = 6 + 5x + -2 Reorder the terms: 16 + -7x = 6 + -2 + 5x Combine like terms: 6 + -2 = 4 16 + -7x = 4 + 5x Solving 16 + -7x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + -7x + -5x = 4 + 5x + -5x Combine like terms: -7x + -5x = -12x 16 + -12x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -12x = 4 + 0 16 + -12x = 4 Add '-16' to each side of the equation. 16 + -16 + -12x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 4 + -16 -12x = 4 + -16 Combine like terms: 4 + -16 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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