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Simplifying 3(2x + -5) + -4x = 5x + 1 Reorder the terms: 3(-5 + 2x) + -4x = 5x + 1 (-5 * 3 + 2x * 3) + -4x = 5x + 1 (-15 + 6x) + -4x = 5x + 1 Combine like terms: 6x + -4x = 2x -15 + 2x = 5x + 1 Reorder the terms: -15 + 2x = 1 + 5x Solving -15 + 2x = 1 + 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. -15 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x -15 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -3x = 1 + 0 -15 + -3x = 1 Add '15' to each side of the equation. -15 + 15 + -3x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 1 + 15 -3x = 1 + 15 Combine like terms: 1 + 15 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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