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Simplifying 3x + 5(4x + -6) = 3x + -10 Reorder the terms: 3x + 5(-6 + 4x) = 3x + -10 3x + (-6 * 5 + 4x * 5) = 3x + -10 3x + (-30 + 20x) = 3x + -10 Reorder the terms: -30 + 3x + 20x = 3x + -10 Combine like terms: 3x + 20x = 23x -30 + 23x = 3x + -10 Reorder the terms: -30 + 23x = -10 + 3x Solving -30 + 23x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 23x + -3x = -10 + 3x + -3x Combine like terms: 23x + -3x = 20x -30 + 20x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 20x = -10 + 0 -30 + 20x = -10 Add '30' to each side of the equation. -30 + 30 + 20x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 20x = -10 + 30 20x = -10 + 30 Combine like terms: -10 + 30 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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