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Simplifying 2 + -2(5x + 7) = 2(-6x + -2) + 1 Reorder the terms: 2 + -2(7 + 5x) = 2(-6x + -2) + 1 2 + (7 * -2 + 5x * -2) = 2(-6x + -2) + 1 2 + (-14 + -10x) = 2(-6x + -2) + 1 Combine like terms: 2 + -14 = -12 -12 + -10x = 2(-6x + -2) + 1 Reorder the terms: -12 + -10x = 2(-2 + -6x) + 1 -12 + -10x = (-2 * 2 + -6x * 2) + 1 -12 + -10x = (-4 + -12x) + 1 Reorder the terms: -12 + -10x = -4 + 1 + -12x Combine like terms: -4 + 1 = -3 -12 + -10x = -3 + -12x Solving -12 + -10x = -3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + -10x + 12x = -3 + -12x + 12x Combine like terms: -10x + 12x = 2x -12 + 2x = -3 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 2x = -3 + 0 -12 + 2x = -3 Add '12' to each side of the equation. -12 + 12 + 2x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -3 + 12 2x = -3 + 12 Combine like terms: -3 + 12 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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