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Simplifying 2(2x + 7) + 3(3x + -5) = 3(4x + 5) + -1 Reorder the terms: 2(7 + 2x) + 3(3x + -5) = 3(4x + 5) + -1 (7 * 2 + 2x * 2) + 3(3x + -5) = 3(4x + 5) + -1 (14 + 4x) + 3(3x + -5) = 3(4x + 5) + -1 Reorder the terms: 14 + 4x + 3(-5 + 3x) = 3(4x + 5) + -1 14 + 4x + (-5 * 3 + 3x * 3) = 3(4x + 5) + -1 14 + 4x + (-15 + 9x) = 3(4x + 5) + -1 Reorder the terms: 14 + -15 + 4x + 9x = 3(4x + 5) + -1 Combine like terms: 14 + -15 = -1 -1 + 4x + 9x = 3(4x + 5) + -1 Combine like terms: 4x + 9x = 13x -1 + 13x = 3(4x + 5) + -1 Reorder the terms: -1 + 13x = 3(5 + 4x) + -1 -1 + 13x = (5 * 3 + 4x * 3) + -1 -1 + 13x = (15 + 12x) + -1 Reorder the terms: -1 + 13x = 15 + -1 + 12x Combine like terms: 15 + -1 = 14 -1 + 13x = 14 + 12x Solving -1 + 13x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 13x + -12x = 14 + 12x + -12x Combine like terms: 13x + -12x = 1x -1 + 1x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + 1x = 14 + 0 -1 + 1x = 14 Add '1' to each side of the equation. -1 + 1 + 1x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 14 + 1 1x = 14 + 1 Combine like terms: 14 + 1 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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