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Simplifying 4x + -3(7 + -3x) = 2x + 4(5 + -2x) 4x + (7 * -3 + -3x * -3) = 2x + 4(5 + -2x) 4x + (-21 + 9x) = 2x + 4(5 + -2x) Reorder the terms: -21 + 4x + 9x = 2x + 4(5 + -2x) Combine like terms: 4x + 9x = 13x -21 + 13x = 2x + 4(5 + -2x) -21 + 13x = 2x + (5 * 4 + -2x * 4) -21 + 13x = 2x + (20 + -8x) Reorder the terms: -21 + 13x = 20 + 2x + -8x Combine like terms: 2x + -8x = -6x -21 + 13x = 20 + -6x Solving -21 + 13x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -21 + 13x + 6x = 20 + -6x + 6x Combine like terms: 13x + 6x = 19x -21 + 19x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 19x = 20 + 0 -21 + 19x = 20 Add '21' to each side of the equation. -21 + 21 + 19x = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 19x = 20 + 21 19x = 20 + 21 Combine like terms: 20 + 21 = 41 19x = 41 Divide each side by '19'. x = 2.157894737 Simplifying x = 2.157894737
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