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Simplifying 3(2x + -5) + 9x = 5(4x + -7) + 5 Reorder the terms: 3(-5 + 2x) + 9x = 5(4x + -7) + 5 (-5 * 3 + 2x * 3) + 9x = 5(4x + -7) + 5 (-15 + 6x) + 9x = 5(4x + -7) + 5 Combine like terms: 6x + 9x = 15x -15 + 15x = 5(4x + -7) + 5 Reorder the terms: -15 + 15x = 5(-7 + 4x) + 5 -15 + 15x = (-7 * 5 + 4x * 5) + 5 -15 + 15x = (-35 + 20x) + 5 Reorder the terms: -15 + 15x = -35 + 5 + 20x Combine like terms: -35 + 5 = -30 -15 + 15x = -30 + 20x Solving -15 + 15x = -30 + 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. -15 + 15x + -20x = -30 + 20x + -20x Combine like terms: 15x + -20x = -5x -15 + -5x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + -5x = -30 + 0 -15 + -5x = -30 Add '15' to each side of the equation. -15 + 15 + -5x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = -30 + 15 -5x = -30 + 15 Combine like terms: -30 + 15 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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