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Simplifying 2(2x + -3) = 2(6x + 7) Reorder the terms: 2(-3 + 2x) = 2(6x + 7) (-3 * 2 + 2x * 2) = 2(6x + 7) (-6 + 4x) = 2(6x + 7) Reorder the terms: -6 + 4x = 2(7 + 6x) -6 + 4x = (7 * 2 + 6x * 2) -6 + 4x = (14 + 12x) Solving -6 + 4x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 4x + -12x = 14 + 12x + -12x Combine like terms: 4x + -12x = -8x -6 + -8x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -8x = 14 + 0 -6 + -8x = 14 Add '6' to each side of the equation. -6 + 6 + -8x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 14 + 6 -8x = 14 + 6 Combine like terms: 14 + 6 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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