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Simplifying 2(3x + -7) = 4x + -3(2 + -2x) Reorder the terms: 2(-7 + 3x) = 4x + -3(2 + -2x) (-7 * 2 + 3x * 2) = 4x + -3(2 + -2x) (-14 + 6x) = 4x + -3(2 + -2x) -14 + 6x = 4x + (2 * -3 + -2x * -3) -14 + 6x = 4x + (-6 + 6x) Reorder the terms: -14 + 6x = -6 + 4x + 6x Combine like terms: 4x + 6x = 10x -14 + 6x = -6 + 10x Solving -14 + 6x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + 6x + -10x = -6 + 10x + -10x Combine like terms: 6x + -10x = -4x -14 + -4x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -4x = -6 + 0 -14 + -4x = -6 Add '14' to each side of the equation. -14 + 14 + -4x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -6 + 14 -4x = -6 + 14 Combine like terms: -6 + 14 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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