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Simplifying 2x + -7(x + -2) = 3(x + -4) Reorder the terms: 2x + -7(-2 + x) = 3(x + -4) 2x + (-2 * -7 + x * -7) = 3(x + -4) 2x + (14 + -7x) = 3(x + -4) Reorder the terms: 14 + 2x + -7x = 3(x + -4) Combine like terms: 2x + -7x = -5x 14 + -5x = 3(x + -4) Reorder the terms: 14 + -5x = 3(-4 + x) 14 + -5x = (-4 * 3 + x * 3) 14 + -5x = (-12 + 3x) Solving 14 + -5x = -12 + 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. 14 + -5x + -3x = -12 + 3x + -3x Combine like terms: -5x + -3x = -8x 14 + -8x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -8x = -12 + 0 14 + -8x = -12 Add '-14' to each side of the equation. 14 + -14 + -8x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -12 + -14 -8x = -12 + -14 Combine like terms: -12 + -14 = -26 -8x = -26 Divide each side by '-8'. x = 3.25 Simplifying x = 3.25
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