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Simplifying 3x + -4(2 + -3x) + -16 = 5x + -2(4x + 3) 3x + (2 * -4 + -3x * -4) + -16 = 5x + -2(4x + 3) 3x + (-8 + 12x) + -16 = 5x + -2(4x + 3) Reorder the terms: -8 + -16 + 3x + 12x = 5x + -2(4x + 3) Combine like terms: -8 + -16 = -24 -24 + 3x + 12x = 5x + -2(4x + 3) Combine like terms: 3x + 12x = 15x -24 + 15x = 5x + -2(4x + 3) Reorder the terms: -24 + 15x = 5x + -2(3 + 4x) -24 + 15x = 5x + (3 * -2 + 4x * -2) -24 + 15x = 5x + (-6 + -8x) Reorder the terms: -24 + 15x = -6 + 5x + -8x Combine like terms: 5x + -8x = -3x -24 + 15x = -6 + -3x Solving -24 + 15x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 15x + 3x = -6 + -3x + 3x Combine like terms: 15x + 3x = 18x -24 + 18x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 18x = -6 + 0 -24 + 18x = -6 Add '24' to each side of the equation. -24 + 24 + 18x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = -6 + 24 18x = -6 + 24 Combine like terms: -6 + 24 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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