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Simplifying 3x + -4(x + -2) = 2(5 + 4x) Reorder the terms: 3x + -4(-2 + x) = 2(5 + 4x) 3x + (-2 * -4 + x * -4) = 2(5 + 4x) 3x + (8 + -4x) = 2(5 + 4x) Reorder the terms: 8 + 3x + -4x = 2(5 + 4x) Combine like terms: 3x + -4x = -1x 8 + -1x = 2(5 + 4x) 8 + -1x = (5 * 2 + 4x * 2) 8 + -1x = (10 + 8x) Solving 8 + -1x = 10 + 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. 8 + -1x + -8x = 10 + 8x + -8x Combine like terms: -1x + -8x = -9x 8 + -9x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -9x = 10 + 0 8 + -9x = 10 Add '-8' to each side of the equation. 8 + -8 + -9x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 10 + -8 -9x = 10 + -8 Combine like terms: 10 + -8 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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