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Simplifying 2 + 5(4x + -3) = 4(3x + 2) + -3x Reorder the terms: 2 + 5(-3 + 4x) = 4(3x + 2) + -3x 2 + (-3 * 5 + 4x * 5) = 4(3x + 2) + -3x 2 + (-15 + 20x) = 4(3x + 2) + -3x Combine like terms: 2 + -15 = -13 -13 + 20x = 4(3x + 2) + -3x Reorder the terms: -13 + 20x = 4(2 + 3x) + -3x -13 + 20x = (2 * 4 + 3x * 4) + -3x -13 + 20x = (8 + 12x) + -3x Combine like terms: 12x + -3x = 9x -13 + 20x = 8 + 9x Solving -13 + 20x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 20x + -9x = 8 + 9x + -9x Combine like terms: 20x + -9x = 11x -13 + 11x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 11x = 8 + 0 -13 + 11x = 8 Add '13' to each side of the equation. -13 + 13 + 11x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 8 + 13 11x = 8 + 13 Combine like terms: 8 + 13 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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