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Simplifying 23x + -45 = 38x + -15 Reorder the terms: -45 + 23x = 38x + -15 Reorder the terms: -45 + 23x = -15 + 38x Solving -45 + 23x = -15 + 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. -45 + 23x + -38x = -15 + 38x + -38x Combine like terms: 23x + -38x = -15x -45 + -15x = -15 + 38x + -38x Combine like terms: 38x + -38x = 0 -45 + -15x = -15 + 0 -45 + -15x = -15 Add '45' to each side of the equation. -45 + 45 + -15x = -15 + 45 Combine like terms: -45 + 45 = 0 0 + -15x = -15 + 45 -15x = -15 + 45 Combine like terms: -15 + 45 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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