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Simplifying -2(3x + 1) + 2x = 6x + 6 Reorder the terms: -2(1 + 3x) + 2x = 6x + 6 (1 * -2 + 3x * -2) + 2x = 6x + 6 (-2 + -6x) + 2x = 6x + 6 Combine like terms: -6x + 2x = -4x -2 + -4x = 6x + 6 Reorder the terms: -2 + -4x = 6 + 6x Solving -2 + -4x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -4x + -6x = 6 + 6x + -6x Combine like terms: -4x + -6x = -10x -2 + -10x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -10x = 6 + 0 -2 + -10x = 6 Add '2' to each side of the equation. -2 + 2 + -10x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 6 + 2 -10x = 6 + 2 Combine like terms: 6 + 2 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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