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Simplifying 2x + -7 = 6 + 2(4 + -5x) Reorder the terms: -7 + 2x = 6 + 2(4 + -5x) -7 + 2x = 6 + (4 * 2 + -5x * 2) -7 + 2x = 6 + (8 + -10x) Combine like terms: 6 + 8 = 14 -7 + 2x = 14 + -10x Solving -7 + 2x = 14 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -7 + 2x + 10x = 14 + -10x + 10x Combine like terms: 2x + 10x = 12x -7 + 12x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 12x = 14 + 0 -7 + 12x = 14 Add '7' to each side of the equation. -7 + 7 + 12x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 14 + 7 12x = 14 + 7 Combine like terms: 14 + 7 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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