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Simplifying 3x + 23 + -7x + 14 = 13x + 28 + 25x + 72 Reorder the terms: 23 + 14 + 3x + -7x = 13x + 28 + 25x + 72 Combine like terms: 23 + 14 = 37 37 + 3x + -7x = 13x + 28 + 25x + 72 Combine like terms: 3x + -7x = -4x 37 + -4x = 13x + 28 + 25x + 72 Reorder the terms: 37 + -4x = 28 + 72 + 13x + 25x Combine like terms: 28 + 72 = 100 37 + -4x = 100 + 13x + 25x Combine like terms: 13x + 25x = 38x 37 + -4x = 100 + 38x Solving 37 + -4x = 100 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 37 + -4x + -38x = 100 + 38x + -38x Combine like terms: -4x + -38x = -42x 37 + -42x = 100 + 38x + -38x Combine like terms: 38x + -38x = 0 37 + -42x = 100 + 0 37 + -42x = 100 Add '-37' to each side of the equation. 37 + -37 + -42x = 100 + -37 Combine like terms: 37 + -37 = 0 0 + -42x = 100 + -37 -42x = 100 + -37 Combine like terms: 100 + -37 = 63 -42x = 63 Divide each side by '-42'. x = -1.5 Simplifying x = -1.5
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