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Simplifying -2(-3x + -4) + 4x + -3 = 2x + -27 Reorder the terms: -2(-4 + -3x) + 4x + -3 = 2x + -27 (-4 * -2 + -3x * -2) + 4x + -3 = 2x + -27 (8 + 6x) + 4x + -3 = 2x + -27 Reorder the terms: 8 + -3 + 6x + 4x = 2x + -27 Combine like terms: 8 + -3 = 5 5 + 6x + 4x = 2x + -27 Combine like terms: 6x + 4x = 10x 5 + 10x = 2x + -27 Reorder the terms: 5 + 10x = -27 + 2x Solving 5 + 10x = -27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 10x + -2x = -27 + 2x + -2x Combine like terms: 10x + -2x = 8x 5 + 8x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 8x = -27 + 0 5 + 8x = -27 Add '-5' to each side of the equation. 5 + -5 + 8x = -27 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = -27 + -5 8x = -27 + -5 Combine like terms: -27 + -5 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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