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Simplifying 2x + -4(x + 1) = 8x + -9 Reorder the terms: 2x + -4(1 + x) = 8x + -9 2x + (1 * -4 + x * -4) = 8x + -9 2x + (-4 + -4x) = 8x + -9 Reorder the terms: -4 + 2x + -4x = 8x + -9 Combine like terms: 2x + -4x = -2x -4 + -2x = 8x + -9 Reorder the terms: -4 + -2x = -9 + 8x Solving -4 + -2x = -9 + 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. -4 + -2x + -8x = -9 + 8x + -8x Combine like terms: -2x + -8x = -10x -4 + -10x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -10x = -9 + 0 -4 + -10x = -9 Add '4' to each side of the equation. -4 + 4 + -10x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = -9 + 4 -10x = -9 + 4 Combine like terms: -9 + 4 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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