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Simplifying 2(x + -4) + -1 = -2(-9x + 2) + -6x Reorder the terms: 2(-4 + x) + -1 = -2(-9x + 2) + -6x (-4 * 2 + x * 2) + -1 = -2(-9x + 2) + -6x (-8 + 2x) + -1 = -2(-9x + 2) + -6x Reorder the terms: -8 + -1 + 2x = -2(-9x + 2) + -6x Combine like terms: -8 + -1 = -9 -9 + 2x = -2(-9x + 2) + -6x Reorder the terms: -9 + 2x = -2(2 + -9x) + -6x -9 + 2x = (2 * -2 + -9x * -2) + -6x -9 + 2x = (-4 + 18x) + -6x Combine like terms: 18x + -6x = 12x -9 + 2x = -4 + 12x Solving -9 + 2x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 2x + -12x = -4 + 12x + -12x Combine like terms: 2x + -12x = -10x -9 + -10x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -10x = -4 + 0 -9 + -10x = -4 Add '9' to each side of the equation. -9 + 9 + -10x = -4 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = -4 + 9 -10x = -4 + 9 Combine like terms: -4 + 9 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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