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Simplifying 5(x + -4) + 2 = 3(x + -6) + -8x Reorder the terms: 5(-4 + x) + 2 = 3(x + -6) + -8x (-4 * 5 + x * 5) + 2 = 3(x + -6) + -8x (-20 + 5x) + 2 = 3(x + -6) + -8x Reorder the terms: -20 + 2 + 5x = 3(x + -6) + -8x Combine like terms: -20 + 2 = -18 -18 + 5x = 3(x + -6) + -8x Reorder the terms: -18 + 5x = 3(-6 + x) + -8x -18 + 5x = (-6 * 3 + x * 3) + -8x -18 + 5x = (-18 + 3x) + -8x Combine like terms: 3x + -8x = -5x -18 + 5x = -18 + -5x Add '18' to each side of the equation. -18 + 18 + 5x = -18 + 18 + -5x Combine like terms: -18 + 18 = 0 0 + 5x = -18 + 18 + -5x 5x = -18 + 18 + -5x Combine like terms: -18 + 18 = 0 5x = 0 + -5x 5x = -5x Solving 5x = -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. 5x + 5x = -5x + 5x Combine like terms: 5x + 5x = 10x 10x = -5x + 5x Combine like terms: -5x + 5x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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