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Simplifying -4x + -5(x + 2) = -2(4x + 8) Reorder the terms: -4x + -5(2 + x) = -2(4x + 8) -4x + (2 * -5 + x * -5) = -2(4x + 8) -4x + (-10 + -5x) = -2(4x + 8) Reorder the terms: -10 + -4x + -5x = -2(4x + 8) Combine like terms: -4x + -5x = -9x -10 + -9x = -2(4x + 8) Reorder the terms: -10 + -9x = -2(8 + 4x) -10 + -9x = (8 * -2 + 4x * -2) -10 + -9x = (-16 + -8x) Solving -10 + -9x = -16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + -9x + 8x = -16 + -8x + 8x Combine like terms: -9x + 8x = -1x -10 + -1x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + -1x = -16 + 0 -10 + -1x = -16 Add '10' to each side of the equation. -10 + 10 + -1x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -16 + 10 -1x = -16 + 10 Combine like terms: -16 + 10 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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