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Simplifying 7(4x + -1) + 3(10 + -4x) + -3(5x + 5) = -9 Reorder the terms: 7(-1 + 4x) + 3(10 + -4x) + -3(5x + 5) = -9 (-1 * 7 + 4x * 7) + 3(10 + -4x) + -3(5x + 5) = -9 (-7 + 28x) + 3(10 + -4x) + -3(5x + 5) = -9 -7 + 28x + (10 * 3 + -4x * 3) + -3(5x + 5) = -9 -7 + 28x + (30 + -12x) + -3(5x + 5) = -9 Reorder the terms: -7 + 28x + 30 + -12x + -3(5 + 5x) = -9 -7 + 28x + 30 + -12x + (5 * -3 + 5x * -3) = -9 -7 + 28x + 30 + -12x + (-15 + -15x) = -9 Reorder the terms: -7 + 30 + -15 + 28x + -12x + -15x = -9 Combine like terms: -7 + 30 = 23 23 + -15 + 28x + -12x + -15x = -9 Combine like terms: 23 + -15 = 8 8 + 28x + -12x + -15x = -9 Combine like terms: 28x + -12x = 16x 8 + 16x + -15x = -9 Combine like terms: 16x + -15x = 1x 8 + 1x = -9 Solving 8 + 1x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -9 + -8 1x = -9 + -8 Combine like terms: -9 + -8 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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