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Simplifying 5x + -3(4 + -3x) = 4(x + -4) + -16 5x + (4 * -3 + -3x * -3) = 4(x + -4) + -16 5x + (-12 + 9x) = 4(x + -4) + -16 Reorder the terms: -12 + 5x + 9x = 4(x + -4) + -16 Combine like terms: 5x + 9x = 14x -12 + 14x = 4(x + -4) + -16 Reorder the terms: -12 + 14x = 4(-4 + x) + -16 -12 + 14x = (-4 * 4 + x * 4) + -16 -12 + 14x = (-16 + 4x) + -16 Reorder the terms: -12 + 14x = -16 + -16 + 4x Combine like terms: -16 + -16 = -32 -12 + 14x = -32 + 4x Solving -12 + 14x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 14x + -4x = -32 + 4x + -4x Combine like terms: 14x + -4x = 10x -12 + 10x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 10x = -32 + 0 -12 + 10x = -32 Add '12' to each side of the equation. -12 + 12 + 10x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = -32 + 12 10x = -32 + 12 Combine like terms: -32 + 12 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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