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Simplifying 3x + -4(4 + -3x) = 5(x + -3) + -21 3x + (4 * -4 + -3x * -4) = 5(x + -3) + -21 3x + (-16 + 12x) = 5(x + -3) + -21 Reorder the terms: -16 + 3x + 12x = 5(x + -3) + -21 Combine like terms: 3x + 12x = 15x -16 + 15x = 5(x + -3) + -21 Reorder the terms: -16 + 15x = 5(-3 + x) + -21 -16 + 15x = (-3 * 5 + x * 5) + -21 -16 + 15x = (-15 + 5x) + -21 Reorder the terms: -16 + 15x = -15 + -21 + 5x Combine like terms: -15 + -21 = -36 -16 + 15x = -36 + 5x Solving -16 + 15x = -36 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 15x + -5x = -36 + 5x + -5x Combine like terms: 15x + -5x = 10x -16 + 10x = -36 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 10x = -36 + 0 -16 + 10x = -36 Add '16' to each side of the equation. -16 + 16 + 10x = -36 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = -36 + 16 10x = -36 + 16 Combine like terms: -36 + 16 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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