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Simplifying 4 + 6(x + -2) = 1 + -5(x + -1) Reorder the terms: 4 + 6(-2 + x) = 1 + -5(x + -1) 4 + (-2 * 6 + x * 6) = 1 + -5(x + -1) 4 + (-12 + 6x) = 1 + -5(x + -1) Combine like terms: 4 + -12 = -8 -8 + 6x = 1 + -5(x + -1) Reorder the terms: -8 + 6x = 1 + -5(-1 + x) -8 + 6x = 1 + (-1 * -5 + x * -5) -8 + 6x = 1 + (5 + -5x) Combine like terms: 1 + 5 = 6 -8 + 6x = 6 + -5x Solving -8 + 6x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 6x + 5x = 6 + -5x + 5x Combine like terms: 6x + 5x = 11x -8 + 11x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 11x = 6 + 0 -8 + 11x = 6 Add '8' to each side of the equation. -8 + 8 + 11x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 6 + 8 11x = 6 + 8 Combine like terms: 6 + 8 = 14 11x = 14 Divide each side by '11'. x = 1.272727273 Simplifying x = 1.272727273
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