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Simplifying 2(x + -4) = 5(x + 1) + -6 Reorder the terms: 2(-4 + x) = 5(x + 1) + -6 (-4 * 2 + x * 2) = 5(x + 1) + -6 (-8 + 2x) = 5(x + 1) + -6 Reorder the terms: -8 + 2x = 5(1 + x) + -6 -8 + 2x = (1 * 5 + x * 5) + -6 -8 + 2x = (5 + 5x) + -6 Reorder the terms: -8 + 2x = 5 + -6 + 5x Combine like terms: 5 + -6 = -1 -8 + 2x = -1 + 5x Solving -8 + 2x = -1 + 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 + 2x + -5x = -1 + 5x + -5x Combine like terms: 2x + -5x = -3x -8 + -3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -3x = -1 + 0 -8 + -3x = -1 Add '8' to each side of the equation. -8 + 8 + -3x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -1 + 8 -3x = -1 + 8 Combine like terms: -1 + 8 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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