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Simplifying 5x + -4(2x + 1) = 3x + 2(15x + -2) Reorder the terms: 5x + -4(1 + 2x) = 3x + 2(15x + -2) 5x + (1 * -4 + 2x * -4) = 3x + 2(15x + -2) 5x + (-4 + -8x) = 3x + 2(15x + -2) Reorder the terms: -4 + 5x + -8x = 3x + 2(15x + -2) Combine like terms: 5x + -8x = -3x -4 + -3x = 3x + 2(15x + -2) Reorder the terms: -4 + -3x = 3x + 2(-2 + 15x) -4 + -3x = 3x + (-2 * 2 + 15x * 2) -4 + -3x = 3x + (-4 + 30x) Reorder the terms: -4 + -3x = -4 + 3x + 30x Combine like terms: 3x + 30x = 33x -4 + -3x = -4 + 33x Add '4' to each side of the equation. -4 + 4 + -3x = -4 + 4 + 33x Combine like terms: -4 + 4 = 0 0 + -3x = -4 + 4 + 33x -3x = -4 + 4 + 33x Combine like terms: -4 + 4 = 0 -3x = 0 + 33x -3x = 33x Solving -3x = 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -3x + -33x = 33x + -33x Combine like terms: -3x + -33x = -36x -36x = 33x + -33x Combine like terms: 33x + -33x = 0 -36x = 0 Divide each side by '-36'. x = 0 Simplifying x = 0
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