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Simplifying 5x + 3(2 + -1x) = 4 + 6(2x + 5) + 2 5x + (2 * 3 + -1x * 3) = 4 + 6(2x + 5) + 2 5x + (6 + -3x) = 4 + 6(2x + 5) + 2 Reorder the terms: 6 + 5x + -3x = 4 + 6(2x + 5) + 2 Combine like terms: 5x + -3x = 2x 6 + 2x = 4 + 6(2x + 5) + 2 Reorder the terms: 6 + 2x = 4 + 6(5 + 2x) + 2 6 + 2x = 4 + (5 * 6 + 2x * 6) + 2 6 + 2x = 4 + (30 + 12x) + 2 Reorder the terms: 6 + 2x = 4 + 30 + 2 + 12x Combine like terms: 4 + 30 = 34 6 + 2x = 34 + 2 + 12x Combine like terms: 34 + 2 = 36 6 + 2x = 36 + 12x Solving 6 + 2x = 36 + 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. 6 + 2x + -12x = 36 + 12x + -12x Combine like terms: 2x + -12x = -10x 6 + -10x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -10x = 36 + 0 6 + -10x = 36 Add '-6' to each side of the equation. 6 + -6 + -10x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 36 + -6 -10x = 36 + -6 Combine like terms: 36 + -6 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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