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Simplifying 8x + -2(4 + -3x) = 5(x + -5) + -10 8x + (4 * -2 + -3x * -2) = 5(x + -5) + -10 8x + (-8 + 6x) = 5(x + -5) + -10 Reorder the terms: -8 + 8x + 6x = 5(x + -5) + -10 Combine like terms: 8x + 6x = 14x -8 + 14x = 5(x + -5) + -10 Reorder the terms: -8 + 14x = 5(-5 + x) + -10 -8 + 14x = (-5 * 5 + x * 5) + -10 -8 + 14x = (-25 + 5x) + -10 Reorder the terms: -8 + 14x = -25 + -10 + 5x Combine like terms: -25 + -10 = -35 -8 + 14x = -35 + 5x Solving -8 + 14x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 14x + -5x = -35 + 5x + -5x Combine like terms: 14x + -5x = 9x -8 + 9x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 9x = -35 + 0 -8 + 9x = -35 Add '8' to each side of the equation. -8 + 8 + 9x = -35 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = -35 + 8 9x = -35 + 8 Combine like terms: -35 + 8 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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