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Simplifying 2(2x + -6) + -7(x + 2) = 12 + -1x Reorder the terms: 2(-6 + 2x) + -7(x + 2) = 12 + -1x (-6 * 2 + 2x * 2) + -7(x + 2) = 12 + -1x (-12 + 4x) + -7(x + 2) = 12 + -1x Reorder the terms: -12 + 4x + -7(2 + x) = 12 + -1x -12 + 4x + (2 * -7 + x * -7) = 12 + -1x -12 + 4x + (-14 + -7x) = 12 + -1x Reorder the terms: -12 + -14 + 4x + -7x = 12 + -1x Combine like terms: -12 + -14 = -26 -26 + 4x + -7x = 12 + -1x Combine like terms: 4x + -7x = -3x -26 + -3x = 12 + -1x Solving -26 + -3x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -26 + -3x + x = 12 + -1x + x Combine like terms: -3x + x = -2x -26 + -2x = 12 + -1x + x Combine like terms: -1x + x = 0 -26 + -2x = 12 + 0 -26 + -2x = 12 Add '26' to each side of the equation. -26 + 26 + -2x = 12 + 26 Combine like terms: -26 + 26 = 0 0 + -2x = 12 + 26 -2x = 12 + 26 Combine like terms: 12 + 26 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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