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Simplifying 4(7x + -1) + 4(12 + -3x) + -3(5x + 1) = -2 Reorder the terms: 4(-1 + 7x) + 4(12 + -3x) + -3(5x + 1) = -2 (-1 * 4 + 7x * 4) + 4(12 + -3x) + -3(5x + 1) = -2 (-4 + 28x) + 4(12 + -3x) + -3(5x + 1) = -2 -4 + 28x + (12 * 4 + -3x * 4) + -3(5x + 1) = -2 -4 + 28x + (48 + -12x) + -3(5x + 1) = -2 Reorder the terms: -4 + 28x + 48 + -12x + -3(1 + 5x) = -2 -4 + 28x + 48 + -12x + (1 * -3 + 5x * -3) = -2 -4 + 28x + 48 + -12x + (-3 + -15x) = -2 Reorder the terms: -4 + 48 + -3 + 28x + -12x + -15x = -2 Combine like terms: -4 + 48 = 44 44 + -3 + 28x + -12x + -15x = -2 Combine like terms: 44 + -3 = 41 41 + 28x + -12x + -15x = -2 Combine like terms: 28x + -12x = 16x 41 + 16x + -15x = -2 Combine like terms: 16x + -15x = 1x 41 + 1x = -2 Solving 41 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 1x = -2 + -41 Combine like terms: 41 + -41 = 0 0 + 1x = -2 + -41 1x = -2 + -41 Combine like terms: -2 + -41 = -43 1x = -43 Divide each side by '1'. x = -43 Simplifying x = -43
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