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Simplifying 7(14 + -2x) = x + 2(12 + 3x) (14 * 7 + -2x * 7) = x + 2(12 + 3x) (98 + -14x) = x + 2(12 + 3x) 98 + -14x = x + (12 * 2 + 3x * 2) 98 + -14x = x + (24 + 6x) Reorder the terms: 98 + -14x = 24 + x + 6x Combine like terms: x + 6x = 7x 98 + -14x = 24 + 7x Solving 98 + -14x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 98 + -14x + -7x = 24 + 7x + -7x Combine like terms: -14x + -7x = -21x 98 + -21x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 98 + -21x = 24 + 0 98 + -21x = 24 Add '-98' to each side of the equation. 98 + -98 + -21x = 24 + -98 Combine like terms: 98 + -98 = 0 0 + -21x = 24 + -98 -21x = 24 + -98 Combine like terms: 24 + -98 = -74 -21x = -74 Divide each side by '-21'. x = 3.523809524 Simplifying x = 3.523809524
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