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Simplifying 24x2 + -32x + -6x + 8 = 24x2 + -4x + 18x + -3 Reorder the terms: 8 + -32x + -6x + 24x2 = 24x2 + -4x + 18x + -3 Combine like terms: -32x + -6x = -38x 8 + -38x + 24x2 = 24x2 + -4x + 18x + -3 Reorder the terms: 8 + -38x + 24x2 = -3 + -4x + 18x + 24x2 Combine like terms: -4x + 18x = 14x 8 + -38x + 24x2 = -3 + 14x + 24x2 Add '-24x2' to each side of the equation. 8 + -38x + 24x2 + -24x2 = -3 + 14x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 8 + -38x + 0 = -3 + 14x + 24x2 + -24x2 8 + -38x = -3 + 14x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 8 + -38x = -3 + 14x + 0 8 + -38x = -3 + 14x Solving 8 + -38x = -3 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + -38x + -14x = -3 + 14x + -14x Combine like terms: -38x + -14x = -52x 8 + -52x = -3 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -52x = -3 + 0 8 + -52x = -3 Add '-8' to each side of the equation. 8 + -8 + -52x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -52x = -3 + -8 -52x = -3 + -8 Combine like terms: -3 + -8 = -11 -52x = -11 Divide each side by '-52'. x = 0.2115384615 Simplifying x = 0.2115384615
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