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Simplifying 2x + -2(5 + -2x) = 4(2x + 3) + 7x + -8 2x + (5 * -2 + -2x * -2) = 4(2x + 3) + 7x + -8 2x + (-10 + 4x) = 4(2x + 3) + 7x + -8 Reorder the terms: -10 + 2x + 4x = 4(2x + 3) + 7x + -8 Combine like terms: 2x + 4x = 6x -10 + 6x = 4(2x + 3) + 7x + -8 Reorder the terms: -10 + 6x = 4(3 + 2x) + 7x + -8 -10 + 6x = (3 * 4 + 2x * 4) + 7x + -8 -10 + 6x = (12 + 8x) + 7x + -8 Reorder the terms: -10 + 6x = 12 + -8 + 8x + 7x Combine like terms: 12 + -8 = 4 -10 + 6x = 4 + 8x + 7x Combine like terms: 8x + 7x = 15x -10 + 6x = 4 + 15x Solving -10 + 6x = 4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 6x + -15x = 4 + 15x + -15x Combine like terms: 6x + -15x = -9x -10 + -9x = 4 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -9x = 4 + 0 -10 + -9x = 4 Add '10' to each side of the equation. -10 + 10 + -9x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 4 + 10 -9x = 4 + 10 Combine like terms: 4 + 10 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556
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