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Simplifying 4x + 3(7 + -2x) = 5 + -2[3 + -1(5x + -1)] 4x + (7 * 3 + -2x * 3) = 5 + -2[3 + -1(5x + -1)] 4x + (21 + -6x) = 5 + -2[3 + -1(5x + -1)] Reorder the terms: 21 + 4x + -6x = 5 + -2[3 + -1(5x + -1)] Combine like terms: 4x + -6x = -2x 21 + -2x = 5 + -2[3 + -1(5x + -1)] Reorder the terms: 21 + -2x = 5 + -2[3 + -1(-1 + 5x)] 21 + -2x = 5 + -2[3 + (-1 * -1 + 5x * -1)] 21 + -2x = 5 + -2[3 + (1 + -5x)] Combine like terms: 3 + 1 = 4 21 + -2x = 5 + -2[4 + -5x] 21 + -2x = 5 + [4 * -2 + -5x * -2] 21 + -2x = 5 + [-8 + 10x] Combine like terms: 5 + -8 = -3 21 + -2x = -3 + 10x Solving 21 + -2x = -3 + 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. 21 + -2x + -10x = -3 + 10x + -10x Combine like terms: -2x + -10x = -12x 21 + -12x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -12x = -3 + 0 21 + -12x = -3 Add '-21' to each side of the equation. 21 + -21 + -12x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = -3 + -21 -12x = -3 + -21 Combine like terms: -3 + -21 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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