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Simplifying 2(-7x + 8) = -4(4 + 3x) Reorder the terms: 2(8 + -7x) = -4(4 + 3x) (8 * 2 + -7x * 2) = -4(4 + 3x) (16 + -14x) = -4(4 + 3x) 16 + -14x = (4 * -4 + 3x * -4) 16 + -14x = (-16 + -12x) Solving 16 + -14x = -16 + -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. 16 + -14x + 12x = -16 + -12x + 12x Combine like terms: -14x + 12x = -2x 16 + -2x = -16 + -12x + 12x Combine like terms: -12x + 12x = 0 16 + -2x = -16 + 0 16 + -2x = -16 Add '-16' to each side of the equation. 16 + -16 + -2x = -16 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = -16 + -16 -2x = -16 + -16 Combine like terms: -16 + -16 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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