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Simplifying 10x + -15 + 12 = 27x + -4x + 3 Reorder the terms: -15 + 12 + 10x = 27x + -4x + 3 Combine like terms: -15 + 12 = -3 -3 + 10x = 27x + -4x + 3 Reorder the terms: -3 + 10x = 3 + 27x + -4x Combine like terms: 27x + -4x = 23x -3 + 10x = 3 + 23x Solving -3 + 10x = 3 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -3 + 10x + -23x = 3 + 23x + -23x Combine like terms: 10x + -23x = -13x -3 + -13x = 3 + 23x + -23x Combine like terms: 23x + -23x = 0 -3 + -13x = 3 + 0 -3 + -13x = 3 Add '3' to each side of the equation. -3 + 3 + -13x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = 3 + 3 -13x = 3 + 3 Combine like terms: 3 + 3 = 6 -13x = 6 Divide each side by '-13'. x = -0.4615384615 Simplifying x = -0.4615384615
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