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Simplifying 3 + -1(2x + 5) = 5 + x + 2(4x + -6) Reorder the terms: 3 + -1(5 + 2x) = 5 + x + 2(4x + -6) 3 + (5 * -1 + 2x * -1) = 5 + x + 2(4x + -6) 3 + (-5 + -2x) = 5 + x + 2(4x + -6) Combine like terms: 3 + -5 = -2 -2 + -2x = 5 + x + 2(4x + -6) Reorder the terms: -2 + -2x = 5 + x + 2(-6 + 4x) -2 + -2x = 5 + x + (-6 * 2 + 4x * 2) -2 + -2x = 5 + x + (-12 + 8x) Reorder the terms: -2 + -2x = 5 + -12 + x + 8x Combine like terms: 5 + -12 = -7 -2 + -2x = -7 + x + 8x Combine like terms: x + 8x = 9x -2 + -2x = -7 + 9x Solving -2 + -2x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + -2x + -9x = -7 + 9x + -9x Combine like terms: -2x + -9x = -11x -2 + -11x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -11x = -7 + 0 -2 + -11x = -7 Add '2' to each side of the equation. -2 + 2 + -11x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = -7 + 2 -11x = -7 + 2 Combine like terms: -7 + 2 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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