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Simplifying 2x + -6(6x + 8) + 3 + -1(4x + 6) + 200 = 92 Reorder the terms: 2x + -6(8 + 6x) + 3 + -1(4x + 6) + 200 = 92 2x + (8 * -6 + 6x * -6) + 3 + -1(4x + 6) + 200 = 92 2x + (-48 + -36x) + 3 + -1(4x + 6) + 200 = 92 Reorder the terms: 2x + -48 + -36x + 3 + -1(6 + 4x) + 200 = 92 2x + -48 + -36x + 3 + (6 * -1 + 4x * -1) + 200 = 92 2x + -48 + -36x + 3 + (-6 + -4x) + 200 = 92 Reorder the terms: -48 + 3 + -6 + 200 + 2x + -36x + -4x = 92 Combine like terms: -48 + 3 = -45 -45 + -6 + 200 + 2x + -36x + -4x = 92 Combine like terms: -45 + -6 = -51 -51 + 200 + 2x + -36x + -4x = 92 Combine like terms: -51 + 200 = 149 149 + 2x + -36x + -4x = 92 Combine like terms: 2x + -36x = -34x 149 + -34x + -4x = 92 Combine like terms: -34x + -4x = -38x 149 + -38x = 92 Solving 149 + -38x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-149' to each side of the equation. 149 + -149 + -38x = 92 + -149 Combine like terms: 149 + -149 = 0 0 + -38x = 92 + -149 -38x = 92 + -149 Combine like terms: 92 + -149 = -57 -38x = -57 Divide each side by '-38'. x = 1.5 Simplifying x = 1.5
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