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Simplifying 4(x + -4) + 3(1 + 5x) = -32 Reorder the terms: 4(-4 + x) + 3(1 + 5x) = -32 (-4 * 4 + x * 4) + 3(1 + 5x) = -32 (-16 + 4x) + 3(1 + 5x) = -32 -16 + 4x + (1 * 3 + 5x * 3) = -32 -16 + 4x + (3 + 15x) = -32 Reorder the terms: -16 + 3 + 4x + 15x = -32 Combine like terms: -16 + 3 = -13 -13 + 4x + 15x = -32 Combine like terms: 4x + 15x = 19x -13 + 19x = -32 Solving -13 + 19x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 19x = -32 + 13 Combine like terms: -13 + 13 = 0 0 + 19x = -32 + 13 19x = -32 + 13 Combine like terms: -32 + 13 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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