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