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Simplifying 5(3x + -4) + 5x + -2(2x + 1) = 6 Reorder the terms: 5(-4 + 3x) + 5x + -2(2x + 1) = 6 (-4 * 5 + 3x * 5) + 5x + -2(2x + 1) = 6 (-20 + 15x) + 5x + -2(2x + 1) = 6 Reorder the terms: -20 + 15x + 5x + -2(1 + 2x) = 6 -20 + 15x + 5x + (1 * -2 + 2x * -2) = 6 -20 + 15x + 5x + (-2 + -4x) = 6 Reorder the terms: -20 + -2 + 15x + 5x + -4x = 6 Combine like terms: -20 + -2 = -22 -22 + 15x + 5x + -4x = 6 Combine like terms: 15x + 5x = 20x -22 + 20x + -4x = 6 Combine like terms: 20x + -4x = 16x -22 + 16x = 6 Solving -22 + 16x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 16x = 6 + 22 Combine like terms: -22 + 22 = 0 0 + 16x = 6 + 22 16x = 6 + 22 Combine like terms: 6 + 22 = 28 16x = 28 Divide each side by '16'. x = 1.75 Simplifying x = 1.75
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