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Simplifying 6x + -2(2x + -1) = 9x + 2(2 + -1x) Reorder the terms: 6x + -2(-1 + 2x) = 9x + 2(2 + -1x) 6x + (-1 * -2 + 2x * -2) = 9x + 2(2 + -1x) 6x + (2 + -4x) = 9x + 2(2 + -1x) Reorder the terms: 2 + 6x + -4x = 9x + 2(2 + -1x) Combine like terms: 6x + -4x = 2x 2 + 2x = 9x + 2(2 + -1x) 2 + 2x = 9x + (2 * 2 + -1x * 2) 2 + 2x = 9x + (4 + -2x) Reorder the terms: 2 + 2x = 4 + 9x + -2x Combine like terms: 9x + -2x = 7x 2 + 2x = 4 + 7x Solving 2 + 2x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 2x + -7x = 4 + 7x + -7x Combine like terms: 2x + -7x = -5x 2 + -5x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -5x = 4 + 0 2 + -5x = 4 Add '-2' to each side of the equation. 2 + -2 + -5x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 4 + -2 -5x = 4 + -2 Combine like terms: 4 + -2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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