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Simplifying -2x + -3(3 + -4x) = 4(x + -4) + -11 -2x + (3 * -3 + -4x * -3) = 4(x + -4) + -11 -2x + (-9 + 12x) = 4(x + -4) + -11 Reorder the terms: -9 + -2x + 12x = 4(x + -4) + -11 Combine like terms: -2x + 12x = 10x -9 + 10x = 4(x + -4) + -11 Reorder the terms: -9 + 10x = 4(-4 + x) + -11 -9 + 10x = (-4 * 4 + x * 4) + -11 -9 + 10x = (-16 + 4x) + -11 Reorder the terms: -9 + 10x = -16 + -11 + 4x Combine like terms: -16 + -11 = -27 -9 + 10x = -27 + 4x Solving -9 + 10x = -27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 10x + -4x = -27 + 4x + -4x Combine like terms: 10x + -4x = 6x -9 + 6x = -27 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 6x = -27 + 0 -9 + 6x = -27 Add '9' to each side of the equation. -9 + 9 + 6x = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -27 + 9 6x = -27 + 9 Combine like terms: -27 + 9 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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