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Simplifying 3x + 2(4x + -2) = 5(3 + -1x) Reorder the terms: 3x + 2(-2 + 4x) = 5(3 + -1x) 3x + (-2 * 2 + 4x * 2) = 5(3 + -1x) 3x + (-4 + 8x) = 5(3 + -1x) Reorder the terms: -4 + 3x + 8x = 5(3 + -1x) Combine like terms: 3x + 8x = 11x -4 + 11x = 5(3 + -1x) -4 + 11x = (3 * 5 + -1x * 5) -4 + 11x = (15 + -5x) Solving -4 + 11x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -4 + 11x + 5x = 15 + -5x + 5x Combine like terms: 11x + 5x = 16x -4 + 16x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 16x = 15 + 0 -4 + 16x = 15 Add '4' to each side of the equation. -4 + 4 + 16x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 15 + 4 16x = 15 + 4 Combine like terms: 15 + 4 = 19 16x = 19 Divide each side by '16'. x = 1.1875 Simplifying x = 1.1875
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