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Simplifying 8x + -2(2 + -3x) = 5(x + -5) + -33 8x + (2 * -2 + -3x * -2) = 5(x + -5) + -33 8x + (-4 + 6x) = 5(x + -5) + -33 Reorder the terms: -4 + 8x + 6x = 5(x + -5) + -33 Combine like terms: 8x + 6x = 14x -4 + 14x = 5(x + -5) + -33 Reorder the terms: -4 + 14x = 5(-5 + x) + -33 -4 + 14x = (-5 * 5 + x * 5) + -33 -4 + 14x = (-25 + 5x) + -33 Reorder the terms: -4 + 14x = -25 + -33 + 5x Combine like terms: -25 + -33 = -58 -4 + 14x = -58 + 5x Solving -4 + 14x = -58 + 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. -4 + 14x + -5x = -58 + 5x + -5x Combine like terms: 14x + -5x = 9x -4 + 9x = -58 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 9x = -58 + 0 -4 + 9x = -58 Add '4' to each side of the equation. -4 + 4 + 9x = -58 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = -58 + 4 9x = -58 + 4 Combine like terms: -58 + 4 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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