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Simplifying 2(3x + -9) + -4 = 2(x + -3) Reorder the terms: 2(-9 + 3x) + -4 = 2(x + -3) (-9 * 2 + 3x * 2) + -4 = 2(x + -3) (-18 + 6x) + -4 = 2(x + -3) Reorder the terms: -18 + -4 + 6x = 2(x + -3) Combine like terms: -18 + -4 = -22 -22 + 6x = 2(x + -3) Reorder the terms: -22 + 6x = 2(-3 + x) -22 + 6x = (-3 * 2 + x * 2) -22 + 6x = (-6 + 2x) Solving -22 + 6x = -6 + 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. -22 + 6x + -2x = -6 + 2x + -2x Combine like terms: 6x + -2x = 4x -22 + 4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 4x = -6 + 0 -22 + 4x = -6 Add '22' to each side of the equation. -22 + 22 + 4x = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = -6 + 22 4x = -6 + 22 Combine like terms: -6 + 22 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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