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Simplifying 5x + -3(-2x + 1) = 3 + -2(3x + 20) Reorder the terms: 5x + -3(1 + -2x) = 3 + -2(3x + 20) 5x + (1 * -3 + -2x * -3) = 3 + -2(3x + 20) 5x + (-3 + 6x) = 3 + -2(3x + 20) Reorder the terms: -3 + 5x + 6x = 3 + -2(3x + 20) Combine like terms: 5x + 6x = 11x -3 + 11x = 3 + -2(3x + 20) Reorder the terms: -3 + 11x = 3 + -2(20 + 3x) -3 + 11x = 3 + (20 * -2 + 3x * -2) -3 + 11x = 3 + (-40 + -6x) Combine like terms: 3 + -40 = -37 -3 + 11x = -37 + -6x Solving -3 + 11x = -37 + -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. -3 + 11x + 6x = -37 + -6x + 6x Combine like terms: 11x + 6x = 17x -3 + 17x = -37 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 17x = -37 + 0 -3 + 17x = -37 Add '3' to each side of the equation. -3 + 3 + 17x = -37 + 3 Combine like terms: -3 + 3 = 0 0 + 17x = -37 + 3 17x = -37 + 3 Combine like terms: -37 + 3 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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