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Simplifying 2x + -13 = 6(2x + -1) + -1(4x + 11) Reorder the terms: -13 + 2x = 6(2x + -1) + -1(4x + 11) Reorder the terms: -13 + 2x = 6(-1 + 2x) + -1(4x + 11) -13 + 2x = (-1 * 6 + 2x * 6) + -1(4x + 11) -13 + 2x = (-6 + 12x) + -1(4x + 11) Reorder the terms: -13 + 2x = -6 + 12x + -1(11 + 4x) -13 + 2x = -6 + 12x + (11 * -1 + 4x * -1) -13 + 2x = -6 + 12x + (-11 + -4x) Reorder the terms: -13 + 2x = -6 + -11 + 12x + -4x Combine like terms: -6 + -11 = -17 -13 + 2x = -17 + 12x + -4x Combine like terms: 12x + -4x = 8x -13 + 2x = -17 + 8x Solving -13 + 2x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -13 + 2x + -8x = -17 + 8x + -8x Combine like terms: 2x + -8x = -6x -13 + -6x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -6x = -17 + 0 -13 + -6x = -17 Add '13' to each side of the equation. -13 + 13 + -6x = -17 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = -17 + 13 -6x = -17 + 13 Combine like terms: -17 + 13 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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