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Simplifying -7(-2x + 3) = -4x + 3(5x + 1) Reorder the terms: -7(3 + -2x) = -4x + 3(5x + 1) (3 * -7 + -2x * -7) = -4x + 3(5x + 1) (-21 + 14x) = -4x + 3(5x + 1) Reorder the terms: -21 + 14x = -4x + 3(1 + 5x) -21 + 14x = -4x + (1 * 3 + 5x * 3) -21 + 14x = -4x + (3 + 15x) Reorder the terms: -21 + 14x = 3 + -4x + 15x Combine like terms: -4x + 15x = 11x -21 + 14x = 3 + 11x Solving -21 + 14x = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -21 + 14x + -11x = 3 + 11x + -11x Combine like terms: 14x + -11x = 3x -21 + 3x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 -21 + 3x = 3 + 0 -21 + 3x = 3 Add '21' to each side of the equation. -21 + 21 + 3x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 3 + 21 3x = 3 + 21 Combine like terms: 3 + 21 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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