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Simplifying 5(3x + 2) = -1(-4 + -5x) + 7x Reorder the terms: 5(2 + 3x) = -1(-4 + -5x) + 7x (2 * 5 + 3x * 5) = -1(-4 + -5x) + 7x (10 + 15x) = -1(-4 + -5x) + 7x 10 + 15x = (-4 * -1 + -5x * -1) + 7x 10 + 15x = (4 + 5x) + 7x Combine like terms: 5x + 7x = 12x 10 + 15x = 4 + 12x Solving 10 + 15x = 4 + 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. 10 + 15x + -12x = 4 + 12x + -12x Combine like terms: 15x + -12x = 3x 10 + 3x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 3x = 4 + 0 10 + 3x = 4 Add '-10' to each side of the equation. 10 + -10 + 3x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 4 + -10 3x = 4 + -10 Combine like terms: 4 + -10 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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