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Simplifying 4x + -16 + -6x + 4 = 21 + -4x + -3 + -4x Reorder the terms: -16 + 4 + 4x + -6x = 21 + -4x + -3 + -4x Combine like terms: -16 + 4 = -12 -12 + 4x + -6x = 21 + -4x + -3 + -4x Combine like terms: 4x + -6x = -2x -12 + -2x = 21 + -4x + -3 + -4x Reorder the terms: -12 + -2x = 21 + -3 + -4x + -4x Combine like terms: 21 + -3 = 18 -12 + -2x = 18 + -4x + -4x Combine like terms: -4x + -4x = -8x -12 + -2x = 18 + -8x Solving -12 + -2x = 18 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + -2x + 8x = 18 + -8x + 8x Combine like terms: -2x + 8x = 6x -12 + 6x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 6x = 18 + 0 -12 + 6x = 18 Add '12' to each side of the equation. -12 + 12 + 6x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 18 + 12 6x = 18 + 12 Combine like terms: 18 + 12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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