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Simplifying 8x + 3 + -12x = 5(2x + -4) + 7x Reorder the terms: 3 + 8x + -12x = 5(2x + -4) + 7x Combine like terms: 8x + -12x = -4x 3 + -4x = 5(2x + -4) + 7x Reorder the terms: 3 + -4x = 5(-4 + 2x) + 7x 3 + -4x = (-4 * 5 + 2x * 5) + 7x 3 + -4x = (-20 + 10x) + 7x Combine like terms: 10x + 7x = 17x 3 + -4x = -20 + 17x Solving 3 + -4x = -20 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 3 + -4x + -17x = -20 + 17x + -17x Combine like terms: -4x + -17x = -21x 3 + -21x = -20 + 17x + -17x Combine like terms: 17x + -17x = 0 3 + -21x = -20 + 0 3 + -21x = -20 Add '-3' to each side of the equation. 3 + -3 + -21x = -20 + -3 Combine like terms: 3 + -3 = 0 0 + -21x = -20 + -3 -21x = -20 + -3 Combine like terms: -20 + -3 = -23 -21x = -23 Divide each side by '-21'. x = 1.095238095 Simplifying x = 1.095238095
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