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Simplifying x + -4(2x + 1) = 2x + -6 Reorder the terms: x + -4(1 + 2x) = 2x + -6 x + (1 * -4 + 2x * -4) = 2x + -6 x + (-4 + -8x) = 2x + -6 Reorder the terms: -4 + x + -8x = 2x + -6 Combine like terms: x + -8x = -7x -4 + -7x = 2x + -6 Reorder the terms: -4 + -7x = -6 + 2x Solving -4 + -7x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -7x + -2x = -6 + 2x + -2x Combine like terms: -7x + -2x = -9x -4 + -9x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -9x = -6 + 0 -4 + -9x = -6 Add '4' to each side of the equation. -4 + 4 + -9x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -6 + 4 -9x = -6 + 4 Combine like terms: -6 + 4 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222
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