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Simplifying 5(3x + -2) = 4(2x + 7) + -3(1 + -4x) Reorder the terms: 5(-2 + 3x) = 4(2x + 7) + -3(1 + -4x) (-2 * 5 + 3x * 5) = 4(2x + 7) + -3(1 + -4x) (-10 + 15x) = 4(2x + 7) + -3(1 + -4x) Reorder the terms: -10 + 15x = 4(7 + 2x) + -3(1 + -4x) -10 + 15x = (7 * 4 + 2x * 4) + -3(1 + -4x) -10 + 15x = (28 + 8x) + -3(1 + -4x) -10 + 15x = 28 + 8x + (1 * -3 + -4x * -3) -10 + 15x = 28 + 8x + (-3 + 12x) Reorder the terms: -10 + 15x = 28 + -3 + 8x + 12x Combine like terms: 28 + -3 = 25 -10 + 15x = 25 + 8x + 12x Combine like terms: 8x + 12x = 20x -10 + 15x = 25 + 20x Solving -10 + 15x = 25 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -10 + 15x + -20x = 25 + 20x + -20x Combine like terms: 15x + -20x = -5x -10 + -5x = 25 + 20x + -20x Combine like terms: 20x + -20x = 0 -10 + -5x = 25 + 0 -10 + -5x = 25 Add '10' to each side of the equation. -10 + 10 + -5x = 25 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 25 + 10 -5x = 25 + 10 Combine like terms: 25 + 10 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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