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Simplifying 6(4x + -10) + 5 + -4x = 15 + -6x + 4x + -10 Reorder the terms: 6(-10 + 4x) + 5 + -4x = 15 + -6x + 4x + -10 (-10 * 6 + 4x * 6) + 5 + -4x = 15 + -6x + 4x + -10 (-60 + 24x) + 5 + -4x = 15 + -6x + 4x + -10 Reorder the terms: -60 + 5 + 24x + -4x = 15 + -6x + 4x + -10 Combine like terms: -60 + 5 = -55 -55 + 24x + -4x = 15 + -6x + 4x + -10 Combine like terms: 24x + -4x = 20x -55 + 20x = 15 + -6x + 4x + -10 Reorder the terms: -55 + 20x = 15 + -10 + -6x + 4x Combine like terms: 15 + -10 = 5 -55 + 20x = 5 + -6x + 4x Combine like terms: -6x + 4x = -2x -55 + 20x = 5 + -2x Solving -55 + 20x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -55 + 20x + 2x = 5 + -2x + 2x Combine like terms: 20x + 2x = 22x -55 + 22x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -55 + 22x = 5 + 0 -55 + 22x = 5 Add '55' to each side of the equation. -55 + 55 + 22x = 5 + 55 Combine like terms: -55 + 55 = 0 0 + 22x = 5 + 55 22x = 5 + 55 Combine like terms: 5 + 55 = 60 22x = 60 Divide each side by '22'. x = 2.727272727 Simplifying x = 2.727272727
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