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Simplifying 7x + 4 + -2(-4x + -1) = 3(x + -3) Reorder the terms: 7x + 4 + -2(-1 + -4x) = 3(x + -3) 7x + 4 + (-1 * -2 + -4x * -2) = 3(x + -3) 7x + 4 + (2 + 8x) = 3(x + -3) Reorder the terms: 4 + 2 + 7x + 8x = 3(x + -3) Combine like terms: 4 + 2 = 6 6 + 7x + 8x = 3(x + -3) Combine like terms: 7x + 8x = 15x 6 + 15x = 3(x + -3) Reorder the terms: 6 + 15x = 3(-3 + x) 6 + 15x = (-3 * 3 + x * 3) 6 + 15x = (-9 + 3x) Solving 6 + 15x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 15x + -3x = -9 + 3x + -3x Combine like terms: 15x + -3x = 12x 6 + 12x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 12x = -9 + 0 6 + 12x = -9 Add '-6' to each side of the equation. 6 + -6 + 12x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -9 + -6 12x = -9 + -6 Combine like terms: -9 + -6 = -15 12x = -15 Divide each side by '12'. x = -1.25 Simplifying x = -1.25
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