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Simplifying 6(2x + -1) + 10x = 3 + -5(3 + -4x) Reorder the terms: 6(-1 + 2x) + 10x = 3 + -5(3 + -4x) (-1 * 6 + 2x * 6) + 10x = 3 + -5(3 + -4x) (-6 + 12x) + 10x = 3 + -5(3 + -4x) Combine like terms: 12x + 10x = 22x -6 + 22x = 3 + -5(3 + -4x) -6 + 22x = 3 + (3 * -5 + -4x * -5) -6 + 22x = 3 + (-15 + 20x) Combine like terms: 3 + -15 = -12 -6 + 22x = -12 + 20x Solving -6 + 22x = -12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 22x + -20x = -12 + 20x + -20x Combine like terms: 22x + -20x = 2x -6 + 2x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + 2x = -12 + 0 -6 + 2x = -12 Add '6' to each side of the equation. -6 + 6 + 2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -12 + 6 2x = -12 + 6 Combine like terms: -12 + 6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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