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Simplifying -3(5x + 1) + 2x = 2(4x + -3) Reorder the terms: -3(1 + 5x) + 2x = 2(4x + -3) (1 * -3 + 5x * -3) + 2x = 2(4x + -3) (-3 + -15x) + 2x = 2(4x + -3) Combine like terms: -15x + 2x = -13x -3 + -13x = 2(4x + -3) Reorder the terms: -3 + -13x = 2(-3 + 4x) -3 + -13x = (-3 * 2 + 4x * 2) -3 + -13x = (-6 + 8x) Solving -3 + -13x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + -13x + -8x = -6 + 8x + -8x Combine like terms: -13x + -8x = -21x -3 + -21x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -21x = -6 + 0 -3 + -21x = -6 Add '3' to each side of the equation. -3 + 3 + -21x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -21x = -6 + 3 -21x = -6 + 3 Combine like terms: -6 + 3 = -3 -21x = -3 Divide each side by '-21'. x = 0.1428571429 Simplifying x = 0.1428571429
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