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Simplifying -2(x + 6) + 3 = -4x + 7 Reorder the terms: -2(6 + x) + 3 = -4x + 7 (6 * -2 + x * -2) + 3 = -4x + 7 (-12 + -2x) + 3 = -4x + 7 Reorder the terms: -12 + 3 + -2x = -4x + 7 Combine like terms: -12 + 3 = -9 -9 + -2x = -4x + 7 Reorder the terms: -9 + -2x = 7 + -4x Solving -9 + -2x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + -2x + 4x = 7 + -4x + 4x Combine like terms: -2x + 4x = 2x -9 + 2x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 2x = 7 + 0 -9 + 2x = 7 Add '9' to each side of the equation. -9 + 9 + 2x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 7 + 9 2x = 7 + 9 Combine like terms: 7 + 9 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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