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Simplifying -2x + 6(x + -1) + 3 + -1(4 + -1x) = -1(x + 5) + -5 Reorder the terms: -2x + 6(-1 + x) + 3 + -1(4 + -1x) = -1(x + 5) + -5 -2x + (-1 * 6 + x * 6) + 3 + -1(4 + -1x) = -1(x + 5) + -5 -2x + (-6 + 6x) + 3 + -1(4 + -1x) = -1(x + 5) + -5 -2x + -6 + 6x + 3 + (4 * -1 + -1x * -1) = -1(x + 5) + -5 -2x + -6 + 6x + 3 + (-4 + 1x) = -1(x + 5) + -5 Reorder the terms: -6 + 3 + -4 + -2x + 6x + 1x = -1(x + 5) + -5 Combine like terms: -6 + 3 = -3 -3 + -4 + -2x + 6x + 1x = -1(x + 5) + -5 Combine like terms: -3 + -4 = -7 -7 + -2x + 6x + 1x = -1(x + 5) + -5 Combine like terms: -2x + 6x = 4x -7 + 4x + 1x = -1(x + 5) + -5 Combine like terms: 4x + 1x = 5x -7 + 5x = -1(x + 5) + -5 Reorder the terms: -7 + 5x = -1(5 + x) + -5 -7 + 5x = (5 * -1 + x * -1) + -5 -7 + 5x = (-5 + -1x) + -5 Reorder the terms: -7 + 5x = -5 + -5 + -1x Combine like terms: -5 + -5 = -10 -7 + 5x = -10 + -1x Solving -7 + 5x = -10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + 5x + x = -10 + -1x + x Combine like terms: 5x + x = 6x -7 + 6x = -10 + -1x + x Combine like terms: -1x + x = 0 -7 + 6x = -10 + 0 -7 + 6x = -10 Add '7' to each side of the equation. -7 + 7 + 6x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -10 + 7 6x = -10 + 7 Combine like terms: -10 + 7 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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