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Simplifying x + -5(x + 12) + -4(2x + -3) = 16 Reorder the terms: x + -5(12 + x) + -4(2x + -3) = 16 x + (12 * -5 + x * -5) + -4(2x + -3) = 16 x + (-60 + -5x) + -4(2x + -3) = 16 Reorder the terms: x + -60 + -5x + -4(-3 + 2x) = 16 x + -60 + -5x + (-3 * -4 + 2x * -4) = 16 x + -60 + -5x + (12 + -8x) = 16 Reorder the terms: -60 + 12 + x + -5x + -8x = 16 Combine like terms: -60 + 12 = -48 -48 + x + -5x + -8x = 16 Combine like terms: x + -5x = -4x -48 + -4x + -8x = 16 Combine like terms: -4x + -8x = -12x -48 + -12x = 16 Solving -48 + -12x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -12x = 16 + 48 Combine like terms: -48 + 48 = 0 0 + -12x = 16 + 48 -12x = 16 + 48 Combine like terms: 16 + 48 = 64 -12x = 64 Divide each side by '-12'. x = -5.333333333 Simplifying x = -5.333333333
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