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Simplifying 2x + -9 + 8x = 4(5x + -4) + 2 Reorder the terms: -9 + 2x + 8x = 4(5x + -4) + 2 Combine like terms: 2x + 8x = 10x -9 + 10x = 4(5x + -4) + 2 Reorder the terms: -9 + 10x = 4(-4 + 5x) + 2 -9 + 10x = (-4 * 4 + 5x * 4) + 2 -9 + 10x = (-16 + 20x) + 2 Reorder the terms: -9 + 10x = -16 + 2 + 20x Combine like terms: -16 + 2 = -14 -9 + 10x = -14 + 20x Solving -9 + 10x = -14 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -9 + 10x + -20x = -14 + 20x + -20x Combine like terms: 10x + -20x = -10x -9 + -10x = -14 + 20x + -20x Combine like terms: 20x + -20x = 0 -9 + -10x = -14 + 0 -9 + -10x = -14 Add '9' to each side of the equation. -9 + 9 + -10x = -14 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = -14 + 9 -10x = -14 + 9 Combine like terms: -14 + 9 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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