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Simplifying 5x + -3(2 + -2x) = 4(2x + -5) + 2 5x + (2 * -3 + -2x * -3) = 4(2x + -5) + 2 5x + (-6 + 6x) = 4(2x + -5) + 2 Reorder the terms: -6 + 5x + 6x = 4(2x + -5) + 2 Combine like terms: 5x + 6x = 11x -6 + 11x = 4(2x + -5) + 2 Reorder the terms: -6 + 11x = 4(-5 + 2x) + 2 -6 + 11x = (-5 * 4 + 2x * 4) + 2 -6 + 11x = (-20 + 8x) + 2 Reorder the terms: -6 + 11x = -20 + 2 + 8x Combine like terms: -20 + 2 = -18 -6 + 11x = -18 + 8x Solving -6 + 11x = -18 + 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. -6 + 11x + -8x = -18 + 8x + -8x Combine like terms: 11x + -8x = 3x -6 + 3x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 3x = -18 + 0 -6 + 3x = -18 Add '6' to each side of the equation. -6 + 6 + 3x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -18 + 6 3x = -18 + 6 Combine like terms: -18 + 6 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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