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Simplifying 2(2x + -6) + -9 = 3x + 4 Reorder the terms: 2(-6 + 2x) + -9 = 3x + 4 (-6 * 2 + 2x * 2) + -9 = 3x + 4 (-12 + 4x) + -9 = 3x + 4 Reorder the terms: -12 + -9 + 4x = 3x + 4 Combine like terms: -12 + -9 = -21 -21 + 4x = 3x + 4 Reorder the terms: -21 + 4x = 4 + 3x Solving -21 + 4x = 4 + 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. -21 + 4x + -3x = 4 + 3x + -3x Combine like terms: 4x + -3x = 1x -21 + 1x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 1x = 4 + 0 -21 + 1x = 4 Add '21' to each side of the equation. -21 + 21 + 1x = 4 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 4 + 21 1x = 4 + 21 Combine like terms: 4 + 21 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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