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Simplifying 2x + -4(3x + 1) = 5(3x + -1) + 2 Reorder the terms: 2x + -4(1 + 3x) = 5(3x + -1) + 2 2x + (1 * -4 + 3x * -4) = 5(3x + -1) + 2 2x + (-4 + -12x) = 5(3x + -1) + 2 Reorder the terms: -4 + 2x + -12x = 5(3x + -1) + 2 Combine like terms: 2x + -12x = -10x -4 + -10x = 5(3x + -1) + 2 Reorder the terms: -4 + -10x = 5(-1 + 3x) + 2 -4 + -10x = (-1 * 5 + 3x * 5) + 2 -4 + -10x = (-5 + 15x) + 2 Reorder the terms: -4 + -10x = -5 + 2 + 15x Combine like terms: -5 + 2 = -3 -4 + -10x = -3 + 15x Solving -4 + -10x = -3 + 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. -4 + -10x + -15x = -3 + 15x + -15x Combine like terms: -10x + -15x = -25x -4 + -25x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -25x = -3 + 0 -4 + -25x = -3 Add '4' to each side of the equation. -4 + 4 + -25x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -25x = -3 + 4 -25x = -3 + 4 Combine like terms: -3 + 4 = 1 -25x = 1 Divide each side by '-25'. x = -0.04 Simplifying x = -0.04
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