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Simplifying 7(4x + -5) + 3(16 + -4x) + -3(5x + 1) = -1 Reorder the terms: 7(-5 + 4x) + 3(16 + -4x) + -3(5x + 1) = -1 (-5 * 7 + 4x * 7) + 3(16 + -4x) + -3(5x + 1) = -1 (-35 + 28x) + 3(16 + -4x) + -3(5x + 1) = -1 -35 + 28x + (16 * 3 + -4x * 3) + -3(5x + 1) = -1 -35 + 28x + (48 + -12x) + -3(5x + 1) = -1 Reorder the terms: -35 + 28x + 48 + -12x + -3(1 + 5x) = -1 -35 + 28x + 48 + -12x + (1 * -3 + 5x * -3) = -1 -35 + 28x + 48 + -12x + (-3 + -15x) = -1 Reorder the terms: -35 + 48 + -3 + 28x + -12x + -15x = -1 Combine like terms: -35 + 48 = 13 13 + -3 + 28x + -12x + -15x = -1 Combine like terms: 13 + -3 = 10 10 + 28x + -12x + -15x = -1 Combine like terms: 28x + -12x = 16x 10 + 16x + -15x = -1 Combine like terms: 16x + -15x = 1x 10 + 1x = -1 Solving 10 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -1 + -10 1x = -1 + -10 Combine like terms: -1 + -10 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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