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Simplifying 2(x + -6) + -1 = 5 + -1(4x + 2) Reorder the terms: 2(-6 + x) + -1 = 5 + -1(4x + 2) (-6 * 2 + x * 2) + -1 = 5 + -1(4x + 2) (-12 + 2x) + -1 = 5 + -1(4x + 2) Reorder the terms: -12 + -1 + 2x = 5 + -1(4x + 2) Combine like terms: -12 + -1 = -13 -13 + 2x = 5 + -1(4x + 2) Reorder the terms: -13 + 2x = 5 + -1(2 + 4x) -13 + 2x = 5 + (2 * -1 + 4x * -1) -13 + 2x = 5 + (-2 + -4x) Combine like terms: 5 + -2 = 3 -13 + 2x = 3 + -4x Solving -13 + 2x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -13 + 2x + 4x = 3 + -4x + 4x Combine like terms: 2x + 4x = 6x -13 + 6x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 6x = 3 + 0 -13 + 6x = 3 Add '13' to each side of the equation. -13 + 13 + 6x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 3 + 13 6x = 3 + 13 Combine like terms: 3 + 13 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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