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Simplifying 4(3x + -3) + -5(x + 4) = -4 Reorder the terms: 4(-3 + 3x) + -5(x + 4) = -4 (-3 * 4 + 3x * 4) + -5(x + 4) = -4 (-12 + 12x) + -5(x + 4) = -4 Reorder the terms: -12 + 12x + -5(4 + x) = -4 -12 + 12x + (4 * -5 + x * -5) = -4 -12 + 12x + (-20 + -5x) = -4 Reorder the terms: -12 + -20 + 12x + -5x = -4 Combine like terms: -12 + -20 = -32 -32 + 12x + -5x = -4 Combine like terms: 12x + -5x = 7x -32 + 7x = -4 Solving -32 + 7x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 7x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 7x = -4 + 32 7x = -4 + 32 Combine like terms: -4 + 32 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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