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Simplifying 2(-2x + -4) + 6 = 5 + -3(x + 1) Reorder the terms: 2(-4 + -2x) + 6 = 5 + -3(x + 1) (-4 * 2 + -2x * 2) + 6 = 5 + -3(x + 1) (-8 + -4x) + 6 = 5 + -3(x + 1) Reorder the terms: -8 + 6 + -4x = 5 + -3(x + 1) Combine like terms: -8 + 6 = -2 -2 + -4x = 5 + -3(x + 1) Reorder the terms: -2 + -4x = 5 + -3(1 + x) -2 + -4x = 5 + (1 * -3 + x * -3) -2 + -4x = 5 + (-3 + -3x) Combine like terms: 5 + -3 = 2 -2 + -4x = 2 + -3x Solving -2 + -4x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + -4x + 3x = 2 + -3x + 3x Combine like terms: -4x + 3x = -1x -2 + -1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -1x = 2 + 0 -2 + -1x = 2 Add '2' to each side of the equation. -2 + 2 + -1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 2 + 2 -1x = 2 + 2 Combine like terms: 2 + 2 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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