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Simplifying 3(4x + -5) + -3(x + -3) + 7 = 1 + -5x Reorder the terms: 3(-5 + 4x) + -3(x + -3) + 7 = 1 + -5x (-5 * 3 + 4x * 3) + -3(x + -3) + 7 = 1 + -5x (-15 + 12x) + -3(x + -3) + 7 = 1 + -5x Reorder the terms: -15 + 12x + -3(-3 + x) + 7 = 1 + -5x -15 + 12x + (-3 * -3 + x * -3) + 7 = 1 + -5x -15 + 12x + (9 + -3x) + 7 = 1 + -5x Reorder the terms: -15 + 9 + 7 + 12x + -3x = 1 + -5x Combine like terms: -15 + 9 = -6 -6 + 7 + 12x + -3x = 1 + -5x Combine like terms: -6 + 7 = 1 1 + 12x + -3x = 1 + -5x Combine like terms: 12x + -3x = 9x 1 + 9x = 1 + -5x Add '-1' to each side of the equation. 1 + -1 + 9x = 1 + -1 + -5x Combine like terms: 1 + -1 = 0 0 + 9x = 1 + -1 + -5x 9x = 1 + -1 + -5x Combine like terms: 1 + -1 = 0 9x = 0 + -5x 9x = -5x Solving 9x = -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. 9x + 5x = -5x + 5x Combine like terms: 9x + 5x = 14x 14x = -5x + 5x Combine like terms: -5x + 5x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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