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Simplifying -2x + -3(4 + -2x) = 2(x + -3) + 7 -2x + (4 * -3 + -2x * -3) = 2(x + -3) + 7 -2x + (-12 + 6x) = 2(x + -3) + 7 Reorder the terms: -12 + -2x + 6x = 2(x + -3) + 7 Combine like terms: -2x + 6x = 4x -12 + 4x = 2(x + -3) + 7 Reorder the terms: -12 + 4x = 2(-3 + x) + 7 -12 + 4x = (-3 * 2 + x * 2) + 7 -12 + 4x = (-6 + 2x) + 7 Reorder the terms: -12 + 4x = -6 + 7 + 2x Combine like terms: -6 + 7 = 1 -12 + 4x = 1 + 2x Solving -12 + 4x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 1 + 0 -12 + 2x = 1 Add '12' to each side of the equation. -12 + 12 + 2x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 1 + 12 2x = 1 + 12 Combine like terms: 1 + 12 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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