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Simplifying 3x + -2 = 5x + -4(5x + -4) Reorder the terms: -2 + 3x = 5x + -4(5x + -4) Reorder the terms: -2 + 3x = 5x + -4(-4 + 5x) -2 + 3x = 5x + (-4 * -4 + 5x * -4) -2 + 3x = 5x + (16 + -20x) Reorder the terms: -2 + 3x = 16 + 5x + -20x Combine like terms: 5x + -20x = -15x -2 + 3x = 16 + -15x Solving -2 + 3x = 16 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -2 + 3x + 15x = 16 + -15x + 15x Combine like terms: 3x + 15x = 18x -2 + 18x = 16 + -15x + 15x Combine like terms: -15x + 15x = 0 -2 + 18x = 16 + 0 -2 + 18x = 16 Add '2' to each side of the equation. -2 + 2 + 18x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = 16 + 2 18x = 16 + 2 Combine like terms: 16 + 2 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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