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Simplifying 15x + 14x + -38 = -11x + -23 Reorder the terms: -38 + 15x + 14x = -11x + -23 Combine like terms: 15x + 14x = 29x -38 + 29x = -11x + -23 Reorder the terms: -38 + 29x = -23 + -11x Solving -38 + 29x = -23 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -38 + 29x + 11x = -23 + -11x + 11x Combine like terms: 29x + 11x = 40x -38 + 40x = -23 + -11x + 11x Combine like terms: -11x + 11x = 0 -38 + 40x = -23 + 0 -38 + 40x = -23 Add '38' to each side of the equation. -38 + 38 + 40x = -23 + 38 Combine like terms: -38 + 38 = 0 0 + 40x = -23 + 38 40x = -23 + 38 Combine like terms: -23 + 38 = 15 40x = 15 Divide each side by '40'. x = 0.375 Simplifying x = 0.375
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