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Simplifying 3x + 4(2x + -1) + 2 = 7x + -5(4x + -3) + 4x Reorder the terms: 3x + 4(-1 + 2x) + 2 = 7x + -5(4x + -3) + 4x 3x + (-1 * 4 + 2x * 4) + 2 = 7x + -5(4x + -3) + 4x 3x + (-4 + 8x) + 2 = 7x + -5(4x + -3) + 4x Reorder the terms: -4 + 2 + 3x + 8x = 7x + -5(4x + -3) + 4x Combine like terms: -4 + 2 = -2 -2 + 3x + 8x = 7x + -5(4x + -3) + 4x Combine like terms: 3x + 8x = 11x -2 + 11x = 7x + -5(4x + -3) + 4x Reorder the terms: -2 + 11x = 7x + -5(-3 + 4x) + 4x -2 + 11x = 7x + (-3 * -5 + 4x * -5) + 4x -2 + 11x = 7x + (15 + -20x) + 4x Reorder the terms: -2 + 11x = 15 + 7x + -20x + 4x Combine like terms: 7x + -20x = -13x -2 + 11x = 15 + -13x + 4x Combine like terms: -13x + 4x = -9x -2 + 11x = 15 + -9x Solving -2 + 11x = 15 + -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. -2 + 11x + 9x = 15 + -9x + 9x Combine like terms: 11x + 9x = 20x -2 + 20x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 -2 + 20x = 15 + 0 -2 + 20x = 15 Add '2' to each side of the equation. -2 + 2 + 20x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 20x = 15 + 2 20x = 15 + 2 Combine like terms: 15 + 2 = 17 20x = 17 Divide each side by '20'. x = 0.85 Simplifying x = 0.85
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