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Simplifying 16x + -3(4x + 7) = 6x + -1(12x + 21) Reorder the terms: 16x + -3(7 + 4x) = 6x + -1(12x + 21) 16x + (7 * -3 + 4x * -3) = 6x + -1(12x + 21) 16x + (-21 + -12x) = 6x + -1(12x + 21) Reorder the terms: -21 + 16x + -12x = 6x + -1(12x + 21) Combine like terms: 16x + -12x = 4x -21 + 4x = 6x + -1(12x + 21) Reorder the terms: -21 + 4x = 6x + -1(21 + 12x) -21 + 4x = 6x + (21 * -1 + 12x * -1) -21 + 4x = 6x + (-21 + -12x) Reorder the terms: -21 + 4x = -21 + 6x + -12x Combine like terms: 6x + -12x = -6x -21 + 4x = -21 + -6x Add '21' to each side of the equation. -21 + 21 + 4x = -21 + 21 + -6x Combine like terms: -21 + 21 = 0 0 + 4x = -21 + 21 + -6x 4x = -21 + 21 + -6x Combine like terms: -21 + 21 = 0 4x = 0 + -6x 4x = -6x Solving 4x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4x + 6x = -6x + 6x Combine like terms: 4x + 6x = 10x 10x = -6x + 6x Combine like terms: -6x + 6x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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