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Simplifying 16x + -3(4x + -4) = 6x + -5x + 21 Reorder the terms: 16x + -3(-4 + 4x) = 6x + -5x + 21 16x + (-4 * -3 + 4x * -3) = 6x + -5x + 21 16x + (12 + -12x) = 6x + -5x + 21 Reorder the terms: 12 + 16x + -12x = 6x + -5x + 21 Combine like terms: 16x + -12x = 4x 12 + 4x = 6x + -5x + 21 Reorder the terms: 12 + 4x = 21 + 6x + -5x Combine like terms: 6x + -5x = 1x 12 + 4x = 21 + 1x Solving 12 + 4x = 21 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 4x + -1x = 21 + 1x + -1x Combine like terms: 4x + -1x = 3x 12 + 3x = 21 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + 3x = 21 + 0 12 + 3x = 21 Add '-12' to each side of the equation. 12 + -12 + 3x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 21 + -12 3x = 21 + -12 Combine like terms: 21 + -12 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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